These Problems
Jimmy is 25' from the base of a tree. The angle of elevation to the top of the tree is 51°. Determine the height of the tree. Round to the nearest tenth.
30.9'
A 12' ladder is leaning against a wall. Its base is 3 feet from the wall. Determine its angle of elevation. Round to the nearest tenth.
75.5°
When the sun’s angle of elevation is 38 degrees, a building casts a shadow of 48m. How high is the building?
37.5m
From the top of a 20 m tall lighthouse, a sailboat is sighted at an angle of depression of 40 degrees. How far from the lighthouse is the boat?
23.8m
A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of the tree is 66°. Determine the height of the tree, to the nearest foot.
45 feet
Evelyn Granville, who is 1.5 m tall, is standing 20 m from the base of a building. She sees the top of the building with an angle of elevation of 58 degrees. Find the height of the building.
33.5m
Jimmy is standing on top of a 40' high building. The angle of elevation to a nearby 60' high building is 41°. How far apart are the buildings?
23'
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58 degrees with the ground. Find the length of the wire. Round to the nearest tenth.
37.7 feet
A ladder leans against a building. The top of the ladder reaches a point on the building which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle which the ladder makes with the level ground. Round to the nearest tenth.
68.7
Jimmy and Jenny are standing 100' apart. Between them is a tree. Jimmy's angle of elevation to the top of the tree is 20°. Jenny's angle of elevation to the top of the tree is 30°. Determine their distances to the tree and the height of the tree. Round to the nearest tenth.
Jimmy=61.3'
Jenny = 38.7'
Tree =22.3'