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Triangle Trigonometry

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Which equation could be used to find the measure of one acute angle in the right triangle at the right?

a)

tan(B)=149\tan\left(B\right)=\frac{14}{9}

b)

cos(A)=914\cos\left(A\right)=\frac{9}{14}

c)

tan(B)=914\tan\left(B\right)=\frac{9}{14}

d)

sin(A)=914\sin\left(A\right)=\frac{9}{14}

2.

Which trigonometric ratio should you use?

a)

tangent ratio

b)

sine ratio

c)

cosine ratio

d)

any ratio will work

3.

What is  sin(A)\sin\left(A\right)  ?

a)

 1237\frac{12}{37}  

b)

 1235\frac{12}{35}  

c)

 3537\frac{35}{37}  

d)

 3512\frac{35}{12}  

4.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
5.

Solve for the misssing distance

(a)  

6.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

(a)  

7.

A kite is on a 300-ft string. The angle of elevation from the ground is 39 degrees. Which is the best estimate of the height of the kite above the ground?

a)

629 feet

b)

243 feet

c)

189 feet

d)

233 feet

8.

In ΔABC, m∠A = 38o, m∠C = 32o, and BC = 40 cm. What is the length of AC? Round your answer to the nearest tenth of a centimeter.

a)

57.4

b)

58.2

c)

61.1

d)

67.3

9.
A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
10.

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49o and Stake B measures an angle of elevation of 58o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

a)

152.7 feet

b)

166.3 feet

c)

157.3 feet

d)

131.7 feet

11.

Find the length of side AC to the nearest whole number.

(a)  

12.

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

(a)