Question

ترین کار از سے لے کر پا رہے گا اور اسرار الرس اال را A boat is anchored 80 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 28 degrees. Which of these ?is closest to the height of the lighthouse?

Answer 1

Option D is correct.

h = 43 feet

Step-by-step explanation

To answer this question, it is better to sketch the image of this lighthouse and all

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

For this question,

Hypotenuse = ?

Opposite = h = ?

Adjacent = 80 feet

Angle = 28°

Trignometric ratios enable us to interprete TOA as

Tan 28° = (Opp/Adj)

Tan 28° = (h/80)

Cross multiply

h = 80 Tan 28°

Tan 28° = 0.5317

h = 80 Tan 28°

h = 80 (0.5317)

h = 42.5 feet = 43 feet to the nearest whole number

Hope this Helps!!!