DRAW THE TRIANGLES, LABEL ANGLES and SIDES given, SEARCH for the UNKNOWN SIDE,
Make sure you ANSWER using a SENTENCE.
#6 Word Problems - Trig Ratios- Angle of Elevation and Depression
a) A ladder leaning against a building makes an angle of elevation of 78 degrees with the ground. The
foot of the ladder is 5 feet from the building. How long is the ladder?.
The ladder is
b) The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280
feet from the base of the cliff, how tall is the cliff?
The cliff is
7.
a) Plot and label the point (-3, 5) on the grid below and draw a terminal arm from the origin to
this point.
Use the Cos Ratio, to determine the ratio and the angle.
b) Using the above completed diagram from part a, calculate the principle angle. (The angle
between the terminal arm and the positive x-axis)
c) Calculate the cosine ratio for the obtuse angle found in part b rounded to four decimal places.