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Mathematics for Machine Technology

John C. Peterson, Robert D. Smith

Chapter 74

Introduction to Compound Angles - all with Video Answers

Educators

Chapter Questions

02:49

Problem 1

Use the Law of Sines to find the length of side $x$ to the nearest thousandths inch.
( FIGURE CAN'T COPY )

Christine Girgus
Christine Girgus
Numerade Educator
01:35

Problem 2

Sketch a $302^{\circ} 45^{\prime}$ ray on a Cartesian coordinate system, and from a point on the ray sketch a right triangle. Label the sides of the triangle + or - . Determine the reference angle and the sine, cosine, tangent, cotangent, secant, and cosecant functions for the angle. Round the answers to 5 decimal places.

Himanshu Kushwaha
Himanshu Kushwaha
Numerade Educator
01:31

Problem 3

In the figure, find $\angle A$ to the nearest minute.
( FIGURE CAN'T COPY )

Heather Zimmers
Heather Zimmers
Numerade Educator
02:09

Problem 4

In the figure, determine side $c$ to 3 decimal places, $\angle A$, and $\angle B$ to the nearest minute.
( FIGURE CAN'T COPY )

Ashley High
Ashley High
Numerade Educator
02:41

Problem 5

Find the volume of the machined piece shown. Round the answer to 2 decimal places.
( FIGURE CAN'T COPY )

Meredith Moody
Meredith Moody
Numerade Educator
01:10

Problem 6

Express 18.5 square meters as square feet. Round the answer to 1 decimal place.

Narayan Hari
Narayan Hari
Numerade Educator
07:09

Problem 7

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =1.500 \mathrm{in} . \\
L & =2.700 \mathrm{in} . \\
W & =2.000 \mathrm{in} .
\end{aligned}
$$
a. ___________ b. ___________
( FIGURE CAN'T COPY )

Ahmad Reda
Ahmad Reda
Numerade Educator

Problem 8

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =50.00 \mathrm{~mm} \\
L & =100.00 \mathrm{~mm} \\
W & =80.00 \mathrm{~mm}
\end{aligned}
$$
a.___________ b. ___________
( FIGURE CAN'T COPY )

Check back soon!

Problem 9

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =4.340 \mathrm{in} . \\
L & =4.900 \mathrm{in} . \\
W & =4.200 \mathrm{in} .
\end{aligned}
$$
a. ___________ b. ___________
( FIGURE CAN'T COPY )

Check back soon!
07:09

Problem 10

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =75.00 \mathrm{~mm} \\
L & =90.00 \mathrm{~mm} \\
W & =70.00 \mathrm{~mm}
\end{aligned}
$$
a. ___________ b. ___________
( FIGURE CAN'T COPY )

Ahmad Reda
Ahmad Reda
Numerade Educator
07:09

Problem 11

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =0.800 \mathrm{in} . \\
L & =1.400 \mathrm{in} . \\
W & =1.000 \mathrm{in} .
\end{aligned}
$$
a. ___________ b. ___________
( FIGURE CAN'T COPY )

Ahmad Reda
Ahmad Reda
Numerade Educator

Problem 12

In each of the following exercises a diagonal is shown within a rectangular solid.
a. Compute the true length of diagonal $A B$.
b. Compute $\angle C A B$.
Given:
$$
\begin{aligned}
H & =18.00 \mathrm{~mm} \\
L & =32.40 \mathrm{~mm} \\
W & =25.20 \mathrm{~mm}
\end{aligned}
$$
a. ___________ b. ___________
( FIGURE CAN'T COPY )

Check back soon!