Applications of Right Triangle Trig

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? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower

• 18.01 m
• 29.89 m
• 13.38 m
• 22.21 m

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower

• 18.01 m
• 29.89 m
• 13.38 m
• 22.21 m

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

• 185.18 meters
• 523.55 meters
• 220.80 meters
• 624.27 meters

My dog, Stella, is playing in the park and sees a tree 100 m away.  Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°.  About how tall is the tree?

• 32 m
• 47 m
• 15 m
• 42 m

You are in a park and see a helicopter hovering over an accident on the highway approximately 5 km away from the park.  Oddly enough, you approximate the angle of elevation to the helicopter to be about 20°.  What is the altitude of the helicopter?

• 1.7 km
• 4.7 km
• 5.3 km
• 1.8 km

If the ∠ of elevation in a problem is 43°, then the ∠ of depression in that same problem will be how many degrees?

• 4°
• 43°
• 47°
• 90°

From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of   the cliff is 34º.  How far is the object from the base of the cliff?

• about 27 miles
• about 59 miles
• about 72 miles
• about 22 miles

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

Mary's kite is flying above the beach at the end of a 75-meter string. If the angle of elevation to the kite measures 68 degrees and Mary is holding the kite 1.2 meters off the ground, then determine the height of Mary's kite in flight.

• 28.095 meters
• 69.54 meters
• 70.739 meters
• 185.63 meters