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Sergio039 [100]
3 years ago
15

Fill in the black. In the triangle below , x=_ . Round your answer to two decimal places.

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

x ≈ 44.80    

Step-by-step explanation:

As it's a right angle triangle so we will use rules of trigonometry.

The tangent of the angle = the length of the opposite side /

                                             the length of the adjacent side

First we need to find angle z

<h2>angle z</h2>

52° + z° + 90° = 180°       <em> sum of angles of triangle</em>

142° + z° = 180°

z° = 180 - 142    

z° = 38°

<h2>x</h2>

Tan z° = opp / adj

Tan 38° = 35 / x

x = 35 / Tan 38°

x = 35 / 0.78

x = 44.7979

x ≈ 44.80                        <em> (correct to 2 decimal place)</em>

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4 years ago
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Step-by-step explanation:

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