The height of the lighthouse is 44 feet.
<u>Step-by-step explanation:</u>
You are given more information than you need.
Use the right triangle concept,
A yacht is anchored 90 feet offshore
from the base of a lighthouse.
- Base = 90 feet
- Height = h feet
The angle of elevation from the boat to the top of the lighthouse is 26 degrees.
<u>Using one side length and the angle only: </u>
The trigonometric formula is given as,
tan = height / base
tan[26º] = h ⁄ 90
h = 90 × tan[26º]
h = 43.9 ft
h = 44 feet
Therefore, the height of the lighthouse is 44 feet.
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