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VladimirAG [237]
1 year ago
6

40 pts and Brainliest pls give detailed answer :)

Mathematics
1 answer:
horsena [70]1 year ago
4 0

Answer:

58 ft

Step-by-step explanation:

So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: sin(\theta) = \frac{opposite}{hypotenuse}. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

sin(46) = \frac{x}{80}

Multiply both sides by 80

sin(46) * 80 = x

Calculate sin(46) using a calculator (make sure it's in degree mode)

0.7193398 * 80 = x

Simplify

57.547 \approx x

Round this to the nearest foot

58 \approx x

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