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Sever21 [200]
3 years ago
13

Solve for x. A. 6 B. 8 C. 12 D. 18

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0

we \: get \\  \frac{24}{x}  =  \frac{36}{12} \\  \implies x \:  =  \frac{12 \times 24}{36}  \\  \implies x =  \frac{288}{36}  \\ \implies \: x = 8 \\ hence \: x = 8
uranmaximum [27]3 years ago
4 0
36/12 = 24/x
432/24x
X=18
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galina1969 [7]

The distance of the ship from the lighthouse can be determined using

trigonometric ratios.

  • The ship's horizontal distance from the lighthouse is approximately  <u>1,303.03 feet</u>.

Reasons:

The given parameters are;

The height of the beacon-light above the ground = 114 feet

The angle of elevation to the beacon measured by the boat crew = 5°

Required:

The horizontal distance of the ship from the lighthouse

Solution:

The beacon-light that is seen by the boat crew, the height of the beacon light, and the horizontal distance of the ship from the lighthouse form a right triangle.

Therefore, we have;

\displaystyle tan (\theta) = \mathbf{ \frac{Opposite}{Adjacent}}

\displaystyle tan(angle \ of \ elevation) = \mathbf{\frac{Height \ of \ beacon \ light}{The \ ship's \ horizontal \ distance \ from \ the \ lighthouse}}

Which gives;

\displaystyle The \ ship's \ horizontal \ distance \ from \ the \ lighthouse=  \frac{Height \ of \ beacon \ light}{tan(angle \ of \ elevation)}

Therefore;

\displaystyle The \ ship's \ horizontal \ distance \ from \ the \ lighthouse=  \frac{114 \ feet}{tan(5^{\circ})} \approx \mathbf{1,303.03 \ feet}

The ship's horizontal distance from the lighthouse = <u>1,303.03 feet</u>.

Learn more about angle of elevation here:

brainly.com/question/15821537

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