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Real world problems involving angle of elevation

An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building? Assume that the airplane flies in a straight line and the angle of elevation remains constant until the airplane flies over the building.

The sun shines on a flagpole, causing a shadow to be cast on the ground. The distance from the base of the pole to the tip of the shadow is 49 feet. At that time of day, the sun’s rays make an angle of 38° with the ground. How tall is the flagpole?

Nabil stands 40 m from a building that is 25 m tall. What is the angle of elevation from Nabil to the top of the building? Round your answer to the nearest degree.

You are flying a kite. You let out 40 feet of string at an angle of elevation of 40 degrees. How high up is the kite?

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

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?

a 15 ft ladder is leaning against a wall with an angle of elevation of 70degree. How high up the wall would it reach? Give your answer to two decimal places.

A 14 feet ladder is used to scale a 13 feet wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?

.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?

You are standing 10 feet from the base of a tree. You look up at the top of the tree with an angle of elevation of 60 degrees. How tall is the tree?