A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

Question

2 years ago

8

A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

ea level is 90 degrees.
A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.

°

Mathematics

1 answer:

mojhsa [17] · Answer 1 · 2023-01-29T19:22:34+03:00

mojhsa [17]2 years ago

3 0

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

$\tan( \alpha ) = \frac{34}{122}$

$\alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57$