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professor190 [17]
3 years ago
6

ZB Round your answer to the nearest hundredth. А 5 B 4 C

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

<h3>The answer is 36.87°</h3>

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of B

To find the value of B we use cosine

That's

cos∅ = adjacent / hypotenuse

From the question

adjacent = 4

hypotenuse = 5

We have

\cos(B)  =  \frac{4}{5}  \\ B =  { \cos }^{ - 1} ( \frac{4}{5}) \\  =  36.869897645...

We have the final answer as

<h3>36.87° to the nearest hundredth</h3>

Hope this helps you

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