Question

Find the value of x.

Answer 1

x = 10

Explanation:

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

sin30° =
`(opposite)/(hypotenuse)` =
`(5)/(x)`

cross- multiply

x × sin30° = 5 ( sin30° = 0.5 )

0.5x = 5 ( divide both sides by 0.5 )

x = 10

Answer 2

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=(5)/(x)\\\\\\\Rightarrow (1)/(2)=(5)/(x)\\\\\Rightarrow x=5*2\\\\\Rightarrow x=10~\textup{units}.`

Thus, the value of x is 10 units.