Download Homework on Right Triangle Trigonometry

Geometry Semester 2
Homework on Right Triangle Trigonometry
1.
Name: _______________________________
For the triangle on the right, give the simplified exact values of:
sin 
b. cos 
c.
tan 
d. cot 
e.
sec 
f.
a.
10
5 3
csc 
θ
M
2.
Fill in the box: sin 

3
:
5
10 cm
8 cm
R
3.
T
6 cm
4
5
ABC is a right triangle, AB = 15 units, and sin B  .
a.
B
How long is AC?
15
b.
4.
How long is BC?
A
C
ABC is a right triangle, and AC = 12 units.
B
a.
3
If tan A  , then how long is AB?
4
b.
If cos A 
3
, then how long is AB?
4
A
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12
C
5.
Find x in the triangle on the right if sin  
5
.
13
3x + 2
x+2
θ
3x
6.
Find x in each of the following right triangles. Round your answers to the nearest onehundredth.
a.
b.
x
x
8
34
7.
o
20o
A passenger in an airplane sees two towns directly to the left of the plane:
a.
What is the distance d from the airplane to the first town?
b.
What is the horizontal distance x from the airplane to the first town?
c.
What is the distance y between the two towns?
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8
8.
9.
Give the exact values (without using a calculator) of the following:
a. sin 30o
b. cos 30o
c. tan 30o
d. sec 60o
e. sin 45o
f. csc 45o
Find the simplified exact value of x:
a.
b.
x
6
x
30o
45o
6
10.
What is the measure of angle A to the nearest degree?
5
9
11.
Find θ in this triangle. Give your answer in
degrees and minutes.
A
25 in
θ
16 in
12.
a.
To the nearest minute, what is the measure of the smallest angle in a 3-4-5 right triangle?
b.
If one leg of a right triangle is twice as long as the other leg, then what is the measure of
the smallest angle in that triangle? Give your answer to the nearest minute.
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