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3 years ago

A yacht is anchored 90 feet offshore

Mathematics

2 answers:

Stells [14]3 years ago

8 0

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.

vova2212 [387]3 years ago

4 0

the height is actually 45

Step-by-step explanation:

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