Question

Calculate the value of 0. Write your equation.

Answer 1

Right angle triangle so apply trigonometric identies.

`\\ \tt\hookrightarrow cos\theta=(5)/(13)`

`\\ \tt\hookrightarrow cos\theta=0.37`

`\\ \tt\hookrightarrow \theta=cos^(-1)(0.37)`

`\\ \tt\hookrightarrow \theta=68.3`

Answer 2

θ = 67.4°

Explanation:

using the SOHCAHTOA method,

Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.

Using the formula:

`sin(\beta ) = (oppsoite )/(hypotenuse)`

`sin(\beta ) = (12)/(13)`

`\beta = sin^(-1)((12)/(13) )`

β = 67.4°