Question

the angle of elevation of the top of a rock from the top and foot of a hundred metre high tower are respectively 30 degree and 45 degree. find the height of The Rock .

Answer 1

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Answer 2

Ques :- the angle of elevation of the top of a rock from the top and foot of a hundred metre high tower are respectively 30 degree and 45 degree. find the height of The Rock .

Solution:- Tan45° = height of the rock/ base length

⇒ 1 = height of try rock/ base length

⇒ height of the rock = base length

⇒ H = L................(1)


Again, tan30° = (H - h)/L

⇒ 1/√3 = (H - 100)/H

⇒ H = √3(H - 100)

⇒ 100√3 = √3H - H

⇒ H = 100√3/(√3 - 1) = 100√3(√3 + 1)/(√3² - 1²)

H = 50√3(√3 + 1) = 50(3 + 1.732) = 50 × 4.732

H = 236.6 m

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