Question

Find the length of BC

Answer 1

BC = 26.05

Explanation:

Given Information :

Hypotenuse : Not given

Opposite : 47

Adjacent : BC

Angle ( θ) = 61°

Using SOHCAHTOA

`Tan\: \theta = (Opposite)/(Adjacent) \\\\Tan \: 61 = (47)/(BC) \\\\1.804 = (47)/(BC)\\\\Cross\:Multiply\\1.804BC= 47\\\\Divide\:both\:sides\:by\:1.8 \\\\(1.804BC)/(1.804) = (47)/(1.804) \\\\BC= 26.05`

Answer 2

BC=26.05

Explanation:

by tan(X) rule

tan(61)=47/BC

BC= 47 / tan(61)

BC=26.05