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Mathematics, 04.01.2020 00:31 judt3500

Solve the problem in the image below


Solve the problem in the image below

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Answers: 1
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Answer from: Quest

answer:   \frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}

which is the required equation for finding the value of x,

\frac{x}{sin40^{\circ}}= \frac{12}{sin60^{\circ}}

x= 12\times \frac{sin40^{\circ}}{sin60^{\circ}}

x= 12\times 0.74222719896

x= 8.90672638762\approx 8.967

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