Question

Find the missing side length answer simplest form radical or decimal Question number 6 please

Answer 1

Given:

Hypotenuse = x

Angle = 30

Base = sqr root 3

Find -: The value of "x" and "y" is:

Sol:

Use trigonometric property then:

$\cos\theta=\frac{\text{ Base}}{\text{ Hypotenuse}}$

$\begin{gathered} \cos30=\frac{\sqrt{3}}{x} \\ \\ \frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{x} \\ \\ x=\frac{2\sqrt{3}}{\sqrt{3}} \\ \\ x=2 \end{gathered}$

For the value of "y" is:

$\begin{gathered} \sin\theta=\frac{\text{ Perpendicular}}{\text{ Hypotenuse }} \\ \\ \sin30=\frac{y}{x} \\ \\ \frac{1}{2}=\frac{y}{2} \\ \\ y=\frac{2}{2} \\ \\ y=1 \end{gathered}$

So the value of y is 1