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klasskru [66]
3 years ago
9

Solve for the variable r/s = t-9 for r I need help, please

Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

r = s(t - 9).

Step-by-step explanation:

r/ s = t - 9  Multiply both sides by s:

r = s(t - 9).

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The problem can be represented as a right angled triangle as shown below.

The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.

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Using trigonometric function, SOHCAHTOA, we can solve this:

sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet

The pilot is 5668.3 feet far away from the house.

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