Question

Please help me!!!!!!!

Answer 1

b = 11
`(1)/(4)` (or 11.25)

Explanation:

From the diagram,

b = 15 - a

Since the triangles in the figure are all right angled, apply the appropriate trigonometric function to first determine x. We have;

Sin θ =
`(opposite)/(hypotenuse)`

Sin 30 =
`(x)/(15)`

x = Sin 30 x 15

= 7.5

x = 7.5

To determine a,

Cos θ =
`(adjacent)/(hypotenuse)`

Cos 60 =
`(a)/(7.5)`

a = cos 60 x 7.5

= 3.75

a = 3.8

b = 15 - 3.75

= 11.25

b = 11
`(1)/(4)`