Triangle Trigonometry

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

• $\tan\left(B\right)=\frac{14}{9}$

• $\cos\left(A\right)=\frac{9}{14}$

• $\tan\left(B\right)=\frac{9}{14}$

• $\sin\left(A\right)=\frac{9}{14}$

Which trigonometric ratio should you use?

• tangent ratio

• sine ratio

• cosine ratio

• any ratio will work

What is  $\sin\left(A\right)$  ?

•  $\frac{12}{37}$  

•  $\frac{12}{35}$  

•  $\frac{35}{37}$  

•  $\frac{35}{12}$  

 Find side AB?

• 20 m
• 5 m
• 11.54 m
• 8.66 m

Solve for the misssing distance

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 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?

• 629 feet

• 243 feet

• 189 feet

• 233 feet

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

• 57.4

• 58.2

• 61.1

• 67.3

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?

• 39.6
• 6.0
• 14.8
• 13.6

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

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet