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3 years ago

Find the missing side. Round your answer to the nearest hundredth. х 28° 42 in in

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

The length of the missing side x = 47.57 in

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in

Therefore, the length of the missing side x = 47.57 in

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