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Calculating Heights and Distances

25. A tower s...

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25. A tower stands at the centre of a circular. A and B are the points on the boundary of the park such that AB(=a) subtends an angle of 60 degree at the foot of the tower and the angle of elevation of the top of tower from A orB is 30 degree. Find height of tower

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Q. A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of

60^{\circ}

at the foot of the tower, and the angle of elevation of the top of the tower from A or B is

30^{\circ}

. The height of the tower is

Q. A tower stands vertically on the ground. From a point on the ground, which is

50 m

away from the foot of the tower, the angle of elevation to the top of the tower is

30^{\circ}

. Find the height of the tower.

Q. The angles of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at distance

a

b

respectively are complementary angles. Prove that the height of the tower is

\sqrt{a b}

. If the line joining the two points subtends and angle

θ

at the top of the tower, show that

sin θ = \frac{(a - b)}{(a + b)}

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Calculating Heights and Distances

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