Question

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

Answer 1

The angle is 29.1234 degree

Height and distance

It is an application of trigonometric by which we can find the height, distance, and angle.

Given

(x) = 122 m

Height of lighthouse (h) = 34

The base of a lighthouse that is 34 meters above sea level (l) = 34

To find

The angle of elevation from the boat to the top of the lighthouse.

Step by step explanation

Total height of the tower from the sea level = 34 + 34

Total height of the tower from the sea level = 68

Then

$\begin{aligned} tan \theta &= \dfrac{Total height of tower from the sea level}{Distance between boat and light and lighthouse} \\tan \theta &= \dfrac{68}{122} \\\theta &= tan^{-1} (\dfrac{68}{122} )\\\theta &= 29.132429^{o} \\\end{aligned}$

Thus, the angle is 29.1234 degree

More about the Height and distance link is given below.

https://brainly.com/question/10681300

Answer 2

16 is the answer edge 2022