Question

Find the value of x.

Answer 1

Answer:  The value of x is 10 units.

Step-by-step explanation:  We are given to find the value of x from the figure shown.

We can see in the figure a right-angled triangle where

one of the acute angle has measure 30°, the perpendicular associated with this acute angle is of length 5 units and the hypotenuse is of length x units.

We are to find the value of x.

Applying the ratio for sine of an acute angle in the given right-angled triangle, we have

$\sin 30^\circ=\dfrac{5}{x}\\\\\\\Rightarrow \dfrac{1}{2}=\dfrac{5}{x}\\\\\Rightarrow x=5\times2\\\\\Rightarrow x=10~\textup{units}.$

Thus, the value of x is 10 units.

Answer 2

Answer:

x = 10

Step-by-step explanation:

Since the triangle is right use the sine ratio to find x

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{5}{x}$

cross- multiply

x × sin30° = 5 ( sin30° = 0.5 )

0.5x = 5 ( divide both sides by 0.5 )

x = 10