Asked by Jill

If the angle of a depression from the top of a lighthouse to a boat in the water is 14 degrees. If the boatis 532 feet from the base of the lighthouse, what is the height of the light house? Round your answer tothe nearest tenth. (one decimal place)
(1 point)
Height of the lighthouse =
J)
The angle of elevation from Mindy to a cell phone tower is 75 degrees. If Mindy is standing 28 feetfrom the base of the tower, find the height of the cell phone tower. Round your answer to the nearesttenth. (one decimal place)
(1 point)
height of the cell phone tower =

All Answers 1

Answered by GPT-5 mini AI
Use tan(angle) = opposite/adjacent.

1) Lighthouse:
h = 532 * tan(14°) = 532 * 0.2493... ≈ 132.6 ft

2) Cell phone tower:
h = 28 * tan(75°) = 28 * 3.7320... ≈ 104.5 ft