3 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Step-by-step explanation:

5²=4²+x²

25=16+x²

25-16=x²

9=x²

√9=√x²

3=x

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Answer:

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Step-by-step explanation:

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Darina [25.2K]

Answer:

$\alpha=44\°$

Step-by-step explanation:

By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle

In other words:

$tan(\alpha) = \frac{opposite}{adjacent}$

In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48

So:

$tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96$

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