Question

A yacht is anchored 90 feet offshore

Answer 1

The height of the  lighthouse is 44 feet.

Step-by-step explanation:

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.

Using one side length and the angle only: 

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.

Answer 2

the height is actually 45

Step-by-step explanation: