Math, asked by shreyukalyan57, 7 days ago

a statue 1.6 m tall stands on the top of a pedastal from a point on the ground the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedastal is 45° find the height of the pedastal​

Answers

Answered by kapishsharma9234
2

Answer:

Step-by-step explanation:

The height of the pedestal is :

Given : Height of the statue, RS = 1.6 m, angle of elevation of top of the statue = 60°, angle of elevation of top of the pedestal = 45°

• Let suppose point is at a distance x m from foot of the pedestal and height of pedestal be h m.

• In ∆PQR,

tan 45° = h / x

1 = h / x

h = x

• In ∆PQS,

tan 60° = 1.6 + h / x

√3x = 1.6 + h

√3h = 1.6 + h

h(√3 - 1) = 1.6

• h = 1.6 / (√3-1)

= 1.6(√3-1) / 2 = 0.8(√3-1) m

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Answered by aradhyakumari633
1

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