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Mathematics for Machine Technology

John C. Peterson, Robert D. Smith

Chapter 68

Basic Calculations of Angles and Sides of Right Triangles - all with Video Answers

Educators

Chapter Questions

00:26

Problem 1

If $\cos 35^{\circ} 18^{\prime}$, write the cofunction of the complement of the angle.

Julie Silva
Julie Silva
Numerade Educator
01:09

Problem 2

If $\sin A=0.3617$, determine the value of angle $A$ in degrees, minutes, and seconds rounded to the nearest second.

Ryan Hood
Ryan Hood
Numerade Educator
03:00

Problem 3

Find the volume to the nearest tenth cubic millimeter of this object.
( FIGURE CAN'T COPY )

Ethan Somes
Ethan Somes
Numerade Educator
07:56

Problem 4

The volume of a triangular right prism is 1320 cu in., and the area of the base is 352 sq in. What is the altitude?

Noah Boudrie
Noah Boudrie
Numerade Educator
00:42

Problem 5

Construct a regular octagon 3 cm on a side. By measurement, find the distance across flats to the nearest tenth.

Tanishq Gupta
Tanishq Gupta
Numerade Educator
00:50

Problem 6

Construct an isosceles triangle that measures 2.5 in. on two of the sides and 1.5 in. on the third side. Determine
that area of the triangle to the nearest tenth of a square inch.

Ashley High
Ashley High
Numerade Educator

Problem 7

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle A$.
( ANGLE CAN'T COPY )

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Problem 8

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle B$.
( ANGLE CAN'T COPY )

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Problem 9

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle 1$.
( ANGLE CAN'T COPY )

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Problem 10

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle x$.
( ANGLE CAN'T COPY )

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Problem 11

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle 1$.
( ANGLE CAN'T COPY )

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Problem 12

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle A$.
( ANGLE CAN'T COPY )

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Problem 13

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle y$.
( ANGLE CAN'T COPY )

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Problem 14

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
Determine $\angle B$.
( ANGLE CAN'T COPY )

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Problem 15

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
a. Determine $\angle 1$.
b. Determine $\angle 2$.
( ANGLE CAN'T COPY )

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Problem 16

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
a. Determine $\angle A$.
b. Determine $\angle B$.
( ANGLE CAN'T COPY )

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Problem 17

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
a. Determine $\angle x$.
b. Determine $\angle y$.
( ANGLE CAN'T COPY )

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Problem 18

Solve the following exercises. Compute angles to the nearer minute in triangles with customary unit sides. Compute
angles to the nearer hundredth degree in triangles with metric unit sides.
a. Determine $\angle C$.
b. Determine $\angle D$.
( ANGLE CAN'T COPY )

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Problem 19

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side b.
( ANGLE CAN'T COPY )

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Problem 20

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side c
( ANGLE CAN'T COPY )

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Problem 21

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side x.
( ANGLE CAN'T COPY )

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Problem 22

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side d.
( ANGLE CAN'T COPY )

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Problem 23

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side y.
( ANGLE CAN'T COPY )

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Problem 24

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side f
( ANGLE CAN'T COPY )

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Problem 25

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side p.
( ANGLE CAN'T COPY )

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Problem 26

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
Determine side y.
( ANGLE CAN'T COPY )

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Problem 27

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
a. Determine side d.
b. Determine side e.
( ANGLE CAN'T COPY )

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Problem 28

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
a. Determine side s.
b. Determine side t.
( ANGLE CAN'T COPY )

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Problem 29

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
a. Determine side x.
b. Determine side y
( ANGLE CAN'T COPY )

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Problem 30

Solve the following exercises. Compute the sides to 3 decimal places in triangles dimensioned in customary units.
Compute the sides to 2 decimal places in triangles dimensioned in metric units.
a. Determine side p.
b. Determine side n.
( ANGLE CAN'T COPY )

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Problem 31

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle B$.
b. Determine side $x$.
c. Determine side $y$.
( ANGLE CAN'T COPY )

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Problem 32

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle 1$.
b. Determine $\angle 2$.
c. Determine side $a$.
( ANGLE CAN'T COPY )

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Problem 33

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine side $a$.
b. Determine side $b$.
c. Determine $\angle 2$.
( ANGLE CAN'T COPY )

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Problem 34

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle A$.
b. Determine $\angle B$.
c. Determine side $r$.
( ANGLE CAN'T COPY )

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Problem 35

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle B$.
b. Determine side $b$.
c. Determine side $c$.
( ANGLE CAN'T COPY )

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Problem 36

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle D$.
b. Determine $\angle E$.
c. Determine side $m$.
( ANGLE CAN'T COPY )

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Problem 37

Solve the following exercises. For triangles dimensioned in customary units, compute the sides to 3 decimal places and
the angles to the nearer minute. For triangles dimensioned in metric units, compute the sides to 2 decimal places and
the angles to the nearer hundredth degree.
a. Determine $\angle 1$.
b. Determine side $g$.
c. Determine side $h$.
( ANGLE CAN'T COPY )

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