Height and Distance

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Q. From a point on the ground, the angle of elevation to the top of a 20-meter tall building is 45 degrees. How far is the point from the base of the building?
  • A. 10 meters
  • B. 20 meters
  • C. 30 meters
  • D. 40 meters
Q. From a point on the ground, the angle of elevation to the top of a 40-meter tall building is 60 degrees. How far is the point from the base of the building?
  • A. 20 meters
  • B. 30 meters
  • C. 40 meters
  • D. 50 meters
Q. From a point on the ground, the angle of elevation to the top of a 50-meter tall building is 45 degrees. How far is the point from the base of the building?
  • A. 50 meters
  • B. 25 meters
  • C. 35 meters
  • D. 40 meters
Q. From a point on the ground, the angle of elevation to the top of a building is 45 degrees. If the point is 20 meters away from the building, what is the height of the building?
  • A. 20 meters
  • B. 10 meters
  • C. 30 meters
  • D. 25 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the distance from the point to the base of the hill is 20 meters, what is the height of the hill?
  • A. 10√3 meters
  • B. 20 meters
  • C. 30 meters
  • D. 40 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the distance from the point to the base of the hill is 50 meters, what is the height of the hill?
  • A. 25 meters
  • B. 30 meters
  • C. 35 meters
  • D. 40 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the hill is 100 meters high, how far is the point from the base of the hill?
  • A. 100√3 meters
  • B. 200 meters
  • C. 100 meters
  • D. 50 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 30 degrees. If the point is 100 meters away from the base of the hill, what is the height of the hill?
  • A. 50 meters
  • B. 100 meters
  • C. 100√3 meters
  • D. 50√3 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 37 degrees. If the point is 50 meters away from the base of the hill, what is the height of the hill?
  • A. 30 meters
  • B. 37 meters
  • C. 40 meters
  • D. 50 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 37 degrees. If the distance from the point to the base of the hill is 50 meters, what is the height of the hill?
  • A. 30 meters
  • B. 40 meters
  • C. 37 meters
  • D. 25 meters
Q. From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the distance from the point to the base of the hill is 20 meters, what is the height of the hill?
  • A. 10 m
  • B. 20 m
  • C. 30 m
  • D. 40 m
Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the tower is 10 meters tall, how far is the point from the base of the tower?
  • A. 5√3 meters
  • B. 10 meters
  • C. 15 meters
  • D. 20 meters
Q. From a point on the ground, the angle of elevation to the top of a tower is 30 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?
  • A. 5 m
  • B. 8.66 m
  • C. 10 m
  • D. 17.32 m
Q. From a point on the ground, the angle of elevation to the top of a tower is 45 degrees. If the point is 10 meters away from the base of the tower, what is the height of the tower?
  • A. 10 meters
  • B. 15 meters
  • C. 20 meters
  • D. 25 meters
Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the tree is 10 meters tall, how far is the point from the base of the tree?
  • A. 10 meters
  • B. 5 meters
  • C. 15 meters
  • D. 20 meters
Q. From a point on the ground, the angle of elevation to the top of a tree is 45 degrees. If the point is 20 meters away from the base of the tree, what is the height of the tree?
  • A. 20 meters
  • B. 10 meters
  • C. 30 meters
  • D. 15 meters
Q. From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
  • A. 100 meters
  • B. 150 meters
  • C. 173 meters
  • D. 200 meters
Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 45 degrees. How far is the point from the base of the tower?
  • A. 40 meters
  • B. 30 meters
  • C. 50 meters
  • D. 20 meters
Q. From the top of a 40-meter high tower, the angle of depression to a point on the ground is 60 degrees. How far is the point from the base of the tower?
  • A. 20√3 meters
  • B. 40 meters
  • C. 30 meters
  • D. 50 meters
Q. From the top of a 50-meter high building, the angle of depression to a point on the ground is 30 degrees. How far is the point from the base of the building?
  • A. 25√3 meters
  • B. 50 meters
  • C. 75 meters
  • D. 100 meters
Q. From the top of a hill, the angle of depression to a car parked on the ground is 45 degrees. If the height of the hill is 100 meters, how far is the car from the base of the hill?
  • A. 100 meters
  • B. 150 meters
  • C. 200 meters
  • D. 250 meters
Q. From the top of a hill, the angle of depression to a car parked on the ground is 60 degrees. If the height of the hill is 80 meters, how far is the car from the base of the hill?
  • A. 40√3 meters
  • B. 80 meters
  • C. 60 meters
  • D. 100 meters
Q. From the top of a hill, the angle of depression to a car parked on the road is 30 degrees. If the height of the hill is 60 meters, how far is the car from the base of the hill?
  • A. 60√3 meters
  • B. 30√3 meters
  • C. 90 meters
  • D. 120 meters
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?
  • A. 25√3 meters
  • B. 50 meters
  • C. 100 meters
  • D. 75 meters
Q. If a 12-meter tall pole casts a shadow of 8 meters, what is the angle of elevation of the sun?
  • A. 36.87 degrees
  • B. 45 degrees
  • C. 53.13 degrees
  • D. 60 degrees
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?
  • A. 50 meters
  • B. 100 meters
  • C. 150 meters
  • D. 200 meters
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?
  • A. 40√3 meters
  • B. 80 meters
  • C. 40 meters
  • D. 20√3 meters
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?
  • A. 30 meters
  • B. 20√3 meters
  • C. 60 meters
  • D. 40 meters
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?
  • A. 10 meters
  • B. 20 meters
  • C. 30 meters
  • D. 40 meters
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?
  • A. 7.5 meters
  • B. 10 meters
  • C. 12.5 meters
  • D. 15 meters
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