Angle of Elevation
Angle of Depression
Evaluating Inverse Trig Functions
Evaluating Composite Inverse Trig Functions
100

Brian's kite is flying above a field at the end of a 65 meter string. If the angle of elevation to the kite is 70°, how high is the kite above Brian's head?

61.1 meters

100

From the top of a vertical cliff that is 60 meters high, the angle of depression of an object that is level with the base of the cliff is 30°. How far is the object from the base of the cliff?

103.9 meters

100

arcsin(-1/2)

What is 11pi over six or 330 degrees?

100

arccos(cos(5pi/3))

What is pi/3?

200

From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of the pole measures 53°. How tall is the flagpole?

15.9 feet

200

A zip line starts on a platform and is 200 feet long and has an angle of depression of 20° to the ground. How high off the ground is the zip line? 

68.4 feet

200

arccos(2pi/3)

What is -1/2?

200

arcsin(sin(7pi/6))

What is - pi/6?

300

A man flies a kite and lets out 100 feet of string. The angle of elevation is 52°. How far is the man from the spot directly underneath the kite?

61.6 feet

300

A zip line starts on a platform and is 200 feet long and has an angle of depression of 20° to the ground. What is the horizontal distance traveled by the zip line?

187.9 feet

300

arctan(- square root of 3)

What is 5pi/3 or 300 degrees?

300

tan(arcsin(4/5))

What is 4/3?

400

A man, who is 6 feet tall, flies a kite that reaches an elevation of 80 feet. The angle of elevation from the top of the man to the kite is 37°. How long is the kite string?

123 feet

400
Andrew is 6 feet tall and standing on top of a 40 foot cliff. He spots a boat at an angle of depression of 47°. How far is the boat from the base of the cliff?

42.9 feet

400

arccos(0)

What is pi/2 or 90 degrees?

400

sin(arccos(-square root of 2/2))

What is the square root of 2 over 2?

500

A woman who is 5 feet tall looks up at a tree with an angle of elevation that is 45°. If she is 17 yards away from the tree, how tall is the tree?

22 yards

500

An eagle is flying at a height of 50 meters and sees a rabbit on the ground at an angle of depression of 37°. How far is the eagle from the rabbit?

83.1 meters

500

arctan(square root of 3 over 3)

What is pi/6 or 30 degrees?

500

arccos(cos(-1.01))

No Solution

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