Height and Distance
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Q. From the top of a tower, the angle of depression to a point on the ground is 30 degrees. If the height of the tower is 50 meters, how far is the point from the base of the tower?
Q. If a 12-meter long ladder reaches a height of 9 meters on a wall, how far is the foot of the ladder from the wall?
Q. If a 12-meter tall pole casts a shadow of 8 meters, what is the angle of elevation of the sun?
Q. If a 50-meter tall building casts a shadow of 25 meters, what is the angle of elevation of the sun?
Q. If a kite is flying at a height of 100 meters and the angle of elevation from a point on the ground is 60 degrees, how far is the point from the base of the kite?
Q. If a kite is flying at a height of 30 meters and the string makes an angle of 60 degrees with the ground, how long is the string?
Q. If a kite is flying at a height of 40 meters and the string makes an angle of 30 degrees with the ground, how long is the string?
Q. If a kite is flying at a height of 50 meters and the string makes an angle of 30 degrees with the ground, how long is the string?
Q. If a kite is flying at a height of 60 meters and the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's vertical line?
Q. If a person is 20 meters away from a tree and the angle of elevation to the top of the tree is 45 degrees, what is the height of the tree?
Q. If a person is standing 15 meters away from a building and the angle of elevation to the top of the building is 30 degrees, what is the height of the building?
Q. If a person is standing 40 meters away from a vertical pole and the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
Q. If a person standing 15 meters away from a building sees the top of the building at an angle of elevation of 30 degrees, what is the height of the building?