Question

Which is the height of the lighthouse?

Answer 1

43ft is the answer I believe your looking for

Answer 2

Explanation:

tan 26° =
`(x)/(90)` ⇒ x = 90tan26° ≈ 43.9 ft. (This answer for the picture)

sin 26° =
`(h)/(100)` ⇒ h = 100sin26° ≈ 43.9 ft (This answer for the text)

h = √(100² - 90²) ≈ 43.589 ft. (Pythagorean theorem)