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Keith_Richards [23]
2 years ago
13

Find x and y. Please write your answer in simplified radical form.

Mathematics
1 answer:
scoray [572]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = \frac{opposite}{hypotenuse} = \frac{6}{y}

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = \frac{6}{sin30} = \frac{6}{\frac{1}{2} } = 12

---------------------------------------------------------------------------------------

cos30° = \frac{adjacent}{hypotenuse} = \frac{x}{y}

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × \frac{\sqrt{3} }{2} = 6\sqrt{3}

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a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillia
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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

<h3>What is Tangent (Tanθ)?</h3>

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

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B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

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Learn more about Tangent (Tanθ):

brainly.com/question/10623976

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