Question

The value of b. Enter your answer as a simplified radical or improper fraction (If necessary)

into the equation box below.
Using the figure below, find b=?

Answer 1

b = (13 root under 3)/2

Explanation:

taking 60 as reference angle,

cos60 = b/h

1/2 = x/15

or, 15 = 2x

so, x = 7.5

Now

h² = p² + b²

15² = x²+z²

225 = (7.5)²+z²

or, 225-56.25 = z²

or, z² = 168.25

so, z = 12.97

so, z = 13 approximately

now

sin60 = p/h

or, sin60 = y/x

or, sin60 = y/7.5

or, sin60.7.5 = y

so, y = 6.5

now

taking 30 as reference angle,

cos30 = b/h

or, cos30 = b/z

or, cos30 = b/13

or, cos30.13 = b

so, b = 11.3 approximately