Question

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

Answer 1

The answer is 36.87°

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

We have the final answer as

36.87° to the nearest hundredth

Hope this helps you