The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30∘. If the angle of elevation at the same point is to be 45∘, then the pillar has to be raised to a height of how many metres?

In ΔABC tanθ=BCAB tan30∘=150ABAB = 150 ×31=503mIf θ=45∘ tan45∘=BCAB⇒1= 150ABAB = 150 mDifference in height l50- 53 = 63.4 (approx.)

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The angle of elevation of the top of an unfinished pillar at a

Question

The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30 $^{\circ}$ . If the angle of elevation at the same point is to be 45 $^{\circ}$ , then the pillar has to be raised to a height of how many metres?

59.4 m

61.4 m

62.4 m

63.4 m

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The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30

^{\circ}

. If the angle of elevation at the same point is to be 45

^{\circ}

, then the pillar has to be raised to a height of how many metres?

15 mins ago

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15 mins ago

Δ

ABC

t an θ = \frac{A B}{BC}

t an 3 0^{\circ} = \frac{A B}{150}

AB = 150

\times \frac{1}{3} = 503 m

θ = 4 5^{\circ}

t an 4 5^{\circ} = \frac{A B}{BC} \Rightarrow 1 = \frac{A B}{150}

AB = 150 m
Difference in height l50-

53

= 63.4 (approx.)

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Question Text	The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30 $^{\circ}$ . If the angle of elevation at the same point is to be 45 $^{\circ}$ , then the pillar has to be raised to a height of how many metres?
Answer Type	Text solution:1
Upvotes	150