Question

ZB=
Round your answer to the nearest hundredth.
А
9
B
5

Answer 1

Anle at B

b = 56.25°

Explanation:

Triangle ABC is a right angle triangle. we are required to look for the angle at B

To do that we have one side of the triangle missing and we'd look for it first.

Let's side AC = c

AB = a

BC = b

c²=a² - b²

C² = 9² -5²

C² = 81 - 25

C² = 56

C = √56

For angle at B

√56/sinb = 9/sin90

Sin 90 = 1

Sinb = √56/9

b = sin^-1 (√56/9)

b = 56.251°

To the nearest hundredth

b = 56.25°