A yacht is anchored 90 feet offshore

from the base of a lighthouse. The angle

of elevation from the boat to the top of

the lighthouse is 26 degrees. Which of

these is nearest to the height of the

lighthouse?

The height of the lighthouse = 44 m

The distance between the yacht and the base of the lighthouse, d = 90 feet

The angle of elevation from the boat to the top of the lighthouse, θ = 26 degrees

Let the height of the lighthouse be represented by h

We can find the height by using the tangent formula

h =  44 m (to the nearest whole number)

The height of the lighthouse = 44 m

Learn more here: link

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.

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.

stop cheating

step-by-step explanation: