Question

1. What is the value of h? (1 point)

Answer 1

The value of h is 11.3.

Solution:

Given data:

The triangle is a right triangle.

θ = 45° and opposite side of θ = 8

The value of sin 45° = $\frac{1}{\sqrt{2} }$

Using trigonometric formula,

$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\sin45^\circ=\frac{{8}}{h}$

$\frac{1}{\sqrt{2} } =\frac{{8}}{h}$

Do cross multiplication.

$h = 8\sqrt 2$

h = 11.3

The value of h is 11.3.