Question

Find the value of θ from the following figure.

Answer 1

Given: A right triangle with right angle at the bottom left, vertical side (adjacent to θ) = 5 cm and base (opposite to θ) = `5sqrt(3)` cm.

Step-wise calculation:

1. For angle θ in a right triangle. 

`tan θ = "Opposite side"/"Adjacent side"`

2. `tan θ = (5sqrt(3))/5`

= `sqrt(3)`

3. `θ = arctan sqrt(3)` 

= 60°