Question

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

Answer 1

Answer:

The answer is 36.87°

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

36.87° to the nearest hundredth

Hope this helps you