Download Solving Right Triangles

Name:_______________________________
Honors Geometry
Trig Review
For #1 - 3, express answer as a ratio in standard radical form. DO NOT USE A CALCULATOR.
1. cos 45°
2. cos 60°
3. sin 30˚
For #4 - 6, express answer as a reduced fraction.
4. cos A
5. tan B
6. sin B
B
C
C
3.5
20
15
41
C
7. sin B =
8
and BC = 30. Find AB.
17
9
B
12.5
A
B
A
A
B
C
A
For #8 – 13, solve for x and round to the nearest tenth.
8.
9.
10.
23
6
18
x
x
38
x
51
10
11.
15
12.
x
x
13.
16
10
x
32
22
12
14. The diagonals of a rhombus are 16 and 30. Find the measure of the angles of the rhombus.
15. Given a trapezoid with sides of length 15, 26, 15, and 32, find the measure of a lower base angle
to the nearest degree.
16. Find the value of w and x to the nearest tenth.
12

w

x
17. Mariah is standing on top of a cliff 200 feet above a lake. The measurement of the angle of
depression to a boat on the lake is 21°. How far is the boat from the base of the cliff to the
nearest foot?
18. A tree is broken by the wind. The top touches the ground 13 meters from the base. It makes an
angle with the ground measuring 29°. How tall was the tree before it was broken?
19. The pilot of a plane flying 5000 feet above sea level observes two ships in line due east. The
measurements of the angles of depression are 30° and 39°. How far apart are the ships?