Question

Given the diagram find the height of the lighthouse to the nearest tenth

Answer 1

height ≈ 23.4 m

Explanation:

let the height of the lighthouse be h

using the tangent ratio in the right triangle

tan38° =
`(opposite)/(adjacent)` =
`(h)/(30)` ( multiply both sides by 30 )

30 × tan38° = h , then

h ≈ 23.4 (to the nearest tenth )