Download Miscellaneous Trig Review #02

MA42: TRIGONOMETRY
LESSON NOTES & HOMEWORK
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EXTRA PRACTICE: MISCELLANEOUS TRIG REVIEW #02
Date:
1) Angle AOB is in standard position and A 3,4 lies in its terminal side. Find the distance, r ,
from point A to the origin.
2) Let  be the measure of an angle in standard position with point Px, y  in its terminal side.
Let r be the distance of P from the origin. Find x and y for each value of r and  .
a)   135; r  1
3)
b)   225; r  3
Find a positive and negative coterminal angle with measure  , where 0    360,
0    2  for each of the following.
36
a) 810
b)
5
4) Find the complement and supplement of the given angles.

a) 27
b)
5
c)
3
7
5) The terminal side of an angle with measure  in standard position passes through the
given point. Sketch the reference triangle. Evaluate sin  , cos , & tan  . Simplify all radicals.
a) P5,12
b) P 6,8
c) P 6,4
6) The terminal side of an angle with measure  in standard position passes through the
given point. Sketch the reference triangle. Evaluate csc  , sec  , & cot  . Simplify all radicals.
a) P 2,2
7)
b) P5,3
c) P2,5
ABC is a right triangle. Solve the triangle given the indicated side(s) and/or angle. Find
angles to the nearest minute.
a) c  30, b  24
b) B  6253' , c  74.37
8) A person two meters tall stands five meters from a building. The angle of elevation from
where the person stands to the top of the building is 75º. Find the height of the building.
9) A ladder 12.2 meters long can be placed so that it will reach a window 10.1 meters above the
ground on one side of the street. If a person tips it back without moving its foot, it will reach a
window 6.4 meters above the ground on the other side. Find the width of the street.
10) The Hirsch Building and the County Hospital are 38 meters apart. From a window in the
Hirsch Building, the angle of elevation of the top of the hospital is 73º. From the same window
the angle of depression of the ground at the base of the hospital is 64º. Find the height of
the hospital.