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° =
`(1)/(√(2) )`

Using trigonometric formula,

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

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

`$(1)/(√(2) ) =\frac{{8}}{h}`

Do cross multiplication.

`h = 8\sqrt 2`

h = 11.3

The value of h is 11.3.