Angle of Elevation & Depression Worksheet#3



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Angle of Elevation Worksheet

Find all values to the nearest tenth.x = 10 sec(20) [pic]10.64 . The second boat must travel about 10.6 miles to get as far west as the first boat.

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1. A man flies a kite with a 100 foot string. The angle of elevation of the string is 52 o . How high off the ground is the kite?

x = 100 sin(52) [pic]78.8 . The kite is about 79 feet above the ground.

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x = arctan([pic]) [pic]5.72 o . The plane must take off at an angle of elevation of about 5.72 o in order to avoid hitting the building.

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2. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in

order to reach the top of the wall?

x = arcsin([pic]) [pic]68.3 o . The ladder must be situated with about a 68.2 o angle of elevation in order to reach the top of the wall.

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3. A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of elevation in order for the vehicles to

safely go up must be 30 o or less, and the longest ramp available is 5 feet long on its base. Can this ramp be used safely?

4. Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of Spencer’s run (his trip down the hill)? Round your answer to the nearest tenth of a foot.

5. A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to the nearest tenth? (Hint: There are 5280 feet in a mile… MAKE SURE YOU CONVERT!)

6. Find the angle of elevation of the sun when a 7.6-meter flagpole casts a 18.2-meter shadow. Round to the nearest tenth of a degree.

7. A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower than the green and the angle of elevation from the tee to the hole is 12°, find the distance from the tee to the hole.

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