Question

Find the value of x from the following figure.

Answer 1

Given: Right triangle with right angle at bottom-left, angle at bottom-right = 60°, diagonal (hypotenuse) = 40 m. Hence the top-left angle = 30°.

Step-wise calculation:

1. In a 30° – 60° – 90° triangle the side opposite 60° = `sqrt(3)/2` × hypotenuse.

2. Here x is the side opposite 60°, so `x = 40 xx sqrt(3)/2`.

3. Compute: `x = 40 xx sqrt(3)/2` 

= `20sqrt(3)` 

= 20 × 1.732 

= 34.64 m

x = `20sqrt(3)` m ≈ 34.64 m.