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koban [17]
4 years ago
11

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

Mathematics
1 answer:
irinina [24]4 years ago
7 0

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.

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