PLEASE HELP ASAP!!!
Dontaya is at the top of a lighthouse
which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees. How far is Brace's boat from the bottom of the lighthouse? (round your FINAL
answer to the nearest whole foot)

Respuesta :

Brace's boat is 225 feet from the bottom of the lighthouse.

What do you mean by trignoemtry?

Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.

Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.

Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.

It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees

Let Brace's boat is x feet from the bottom of the lighthouse.

Using trignometric ratios,

tan 48 = [tex]\frac{P}{B}=\frac{250}{x}[/tex]

1.11 = [tex]\frac{250}{x}[/tex]

x = [tex]\frac{250}{1.11} = 225.23[/tex] ≈ 225 feet

Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.

To learn more about the trignometry from the given link.

https://brainly.com/question/24349828

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