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Mathematics

A light house is 80 m high. The angle of elevation of its top from a point 80 m away from its foot along the same horizontal line is

  1. 60°

  2. 45°

  3. 30°

  4. 90°

Heights & Distances

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Answer

A light house is 80 m high. The angle of elevation of its top from a point 80 m away from its foot along the same horizontal line is. Heights and Distances, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Let AB be the lighthouse and C be the point 80 m away from its foot.

Given, AB = 80 m

BC = 80 m

⇒ tan θ = ABBC\dfrac{\text{AB}}{\text{BC}}

⇒ tan θ = 8080\dfrac{80}{80}

⇒ tan θ = 1

⇒ tan θ = tan 45°

⇒ θ = 45°.

Hence, option 2 is the correct option.

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