From a point on the ground $100 m$ away from the base of a building, the angle of elevation of the top of the building is $60 °$ Which of the following is the best approximation for the height of the building?

173 m

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175 m

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174 m

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172 m

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Solution

The correct option is A $173 m$
Let height of the building $= x$
$tan 60 ° = \frac{x}{100}$
$\Rightarrow x = 100 \sqrt{3} = 173 m$

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From a point on the ground 100 m away from the base of a building, the angle of elevation of the top of the building is 60° Which of the following is the best approximation for the height of the building?

The correct option is A 173 mLet height of the building =x tan60°=x100 ⇒x=100√3=173 m

From a point on the ground $100 m$ away from the base of a building, the angle of elevation of the top of the building is $60 °$ Which of the following is the best approximation for the height of the building?

The correct option is A $173 m$
Let height of the building $= x$
$tan 60 ° = \frac{x}{100}$
$\Rightarrow x = 100 \sqrt{3} = 173 m$