beatyeat2000
beatyeat2000 beatyeat2000
  • 02-03-2020
  • Mathematics
contestada

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

1 What is the value of h 1 point class=

Respuesta :

shilpa85475 shilpa85475
  • 10-03-2020

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° = [tex]\frac{1}{\sqrt{2} }[/tex]

Using trigonometric formula,

[tex]$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]$\sin45^\circ=\frac{{8}}{h}[/tex]

[tex]$\frac{1}{\sqrt{2} } =\frac{{8}}{h}[/tex]

Do cross multiplication.

[tex]h = 8\sqrt 2[/tex]

h = 11.3

The value of h is 11.3.

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