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The angle of elevation of the tops of two vertical towers as seen from the middle point of the line joining the foot of the towers are respectively. The ratio of the height of the tower is
(a)
(b)
(c)
(d)

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Important Questions on Heights and Distances
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Two poles of the height and stand vertically upright on a plain ground. If the distance between their feet is , find the distance between their tops.

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A sphere with centre sits atop a pole as shown in the figure. An observer on the ground is at a distance from the foot of the pole. She notes that the angles of elevation from the observer to points and on the sphere are and , respectively. Then, the radius of the sphere in meters is

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A ladder long is leaning against a vertical wall. It makes an angle of with the ground. How far is the foot of the ladder from the wall?

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X is tall and he notices that he casts a shadow that is long. He then measures that the shadow cast by his school building is long. How tall is the building?

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