Download Review Trigonometry Prep

Review Trigonometry Prep
NAME __________________________________________
PERIOD _____________
Solve each of the following. Box equation and answer. Round sides to the nearest hundredth and angles
to the nearest whole degree. (Due Tuesday 2/10 for a grade! No work, no credit!)
1.
2.
x
40
4
7
x
32
3.
4.
x
3
15
7
x
54
5.
6.
63
x
20
x
10
68
7.
8.
12
23
18
x
60
9.
x
10.
4
30
70
x
12
x
11.
equation for “x” _______________
x = __________
x
y
equation for “y” _______________
15
y = __________
48
Draw a diagram. Round sides to the nearest hundredth and angles to the nearest whole degree.
12. A ladder is leaning against a wall. The foot of the ladder is 7.5 feet from the wall. The angle of elevation
is 73, how high up the wall does the ladder reach? Round the answer to the nearest hundredth.
13. A boy flying a kite lets out 200 feet of string that makes an angle of 50 with the ground. Find, to the
nearest hundredth, how high the kite is above the ground.
14. The top of a 20-foot ladder touches a point on the wall 18 feet above the ground. Find, to the nearest
degree, the measure of the angle that the ladder makes with the wall.
15. A vertical pole 22 meters tall casts a shadow 16 meters long on level ground. Find, to the nearest degree,
the measure of the angle of elevation of the sun.
16. From the top of a cliff 90 feet high, the angle of depression of an object on the ground measures 40. Find,
to the nearest hundredth, the distance from the object to the base of the cliff.
17. From the top of a 140-foot tall lighthouse, the angle of depression of a boat out at sea is 24. Find, to the
nearest hundredth, the distance from the boat to the base of the lighthouse, the base being at sea level.
Determine each trig ratio (fraction). Simplify all fractions, rationalize, and simplify all radicals.
18. tanA
A
19. cosC
6
20. sinA
B
18. __________
3
0
8
19. __________
C
20. __________
Use Pythagorean Theorem or Special Right Triangles to solve the following problems. Do not use Trig.
21.
21. x = __________
4 2
x
22.
30
x
6
22. x = __________