Question

Find the value of θ from the following figure.

Answer 1

Given: Right-angled triangle with base (adjacent to θ) = 4 cm and hypotenuse = `4sqrt(2)` cm.

Step-wise calculation:

1. For an acute angle in a right triangle.

cos θ = `"Adjacent"/"Hypotenuse"`

2. `cos θ = 4/(4sqrt(2))`

= `1/sqrt(2)`

= `sqrt(2)/2`

3. The angle whose cosine is `sqrt(2)/2` is 45°.

θ = 45°