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1 vote
What is the length of ? Round to the nearest tenth.

9.7 m
10.4 m
37.3 m
38.6 m

What is the length of ? Round to the nearest tenth. 9.7 m 10.4 m 37.3 m 38.6 m-example-1
User Bojan
by
6.6k points

2 Answers

3 votes

Answer:

D.

Step-by-step explanation:

User Mattia Astorino
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6.8k points
2 votes

Using basic trigonometry we can write an equation in COS.

Taking 75° as the angle, its adjacent side is given and we need to find hypotenuse (x). Hence, we use cosine.


We know
cos x=(adjacent)/(hypotenuse), so we can write,


cos 75 = (10)/(x) \\x=(10)/(cos 75) \\x=(10)/(0.2588) \\x=38.64

The length of x, rounded to one decimal place, is 38.6 meters. Fourth choice is correct.


ANSWER: 38.6 m

User Mariusgreve
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6.7k points