U6L4 Angles of Elevation

Which scenario describes the picture shown?

• A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
• A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?
• A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

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A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74^𝑜 with the level ground. How high on the wall does the ladder reach?

Which of the following is the correct diagram for the problem?

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Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head? Round to the nearest tenth.

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

A man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52°. How high off the ground is the kite? How far away is the man from the spot directly under the kite? Round to nearest tenth.

• Height of kite: 61.6 ft.; Ground distance from man to kite: 78.8 ft

• Height of kite: 78.0 ft.; Ground distance from man to kite: 61.5 ft

• Height of kite: 78.8 ft.; Ground distance from man to kite: 61.6 ft

At a point on the ground 50 feet from a tree, the angle of elevation to the top of the tree is 48°. Find the height of the tree.

Round to the nearest tenth.

• 55.5 feet

• 57.2 feet

• 37.2 feet

• 33.5 feet

A straight road to the top of a hill is 2500 feet long and makes an angle of 12° with the horizontal. Find the height of the hill.

Round to the nearest tenth.

• 519.8 feet

• 2445.4 feet

• 531.4 feet

• 2555.9 feet

Find the angle of elevation of the sun when a boy 5 feet tall casts a shadow 5 feet long. Round the nearest tenth.

• 45°

• 90°

• 60°

• 30°

A 15-foot ladder is used to scale a 12-foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Round to the nearest tenth.

• 68.2°

• 53.1°

• 36.9°

• 38.7°