2023 UPDATED!!! What is the length of ? round to the nearest tenth. 9.7 m 10.4 m 37.3 m 38.6 m

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What is the length of ? round to the nearest tenth. 9.7 m 10.4 m 37.3 m 38.6 m

Using basic trigonometry we can write an equation in COS.

Taking 75 ° as the angle, it is given the adjacent side and we have to get hypotherapy (x). Hence, we use cosine.

We know $cos x = frac {nearby} {hypotenuse}$ , so that we can write,

$cos 75 = frac {10} {x} \ x = frac {10} {cos 75} \ x = frac {10} {0.2588} \ x = 38.64$

The length of x, rounded to one decimal place, is 38.6 meters. The fourth option is correct.

ANSWER: 38.6 m