The value of x is 47.
Solution:
Given data:
The image is a right triangle.
Angle = 62°
Base of the triangle = 25
Height of the triangle (opposite) = x
And the other sides is hypotenuse.
Using trigonometric formulas,
[tex]$\tan\theta=\frac{\text{Opposite}}{\text{Base}}[/tex]
[tex]$\tan62^\circ=\frac{{x}}{\text{25}}[/tex]
[tex]$1.88=\frac{{x}}{\text{25}}[/tex]
Do cross multiplication, we get
1.88 × 25 = x
47 = x
Switch the sides.
x = 47
Hence the value of x is 47.
