Question

A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 47.3. The angle of elevation from sea level to the top of the lighthouse is 51.3. Find the height of the lighthouse from the top of the cliff.

Answer 1

Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.

What is the Tangent Ratio?

For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.

Find the height of the light house and the cliff using the tangent ratio:

tan 51.3 = height/980

Height of lighthouse + cliff = (tan 51.3)(980)

Find the height of the cliff only using the tangent ratio:

tan 47.3 = height/980

Height of cliff = (tan 47.3)(980)

Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)

Height of the lighthouse from the top of the cliff ≈ 161.2 meters.

Learn more about the tangent ratio on:

brainly.com/question/4326804

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