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Artyom0805 [142]
3 years ago
14

Find the value of x in the given right triangle

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

The answer to your question is x = 35°

Step-by-step explanation:

Data

angle x = ?

Opposite side = 7

Adjacent side = 10

Process

To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.

             Tan x = Opposite side / Adjacent side

- Substitution

             Tan x = 7 / 10

- Simplification

              Tan x = 0.7

- Result

               Tan⁻¹ x = x = 34.99 or x ≈ 35°

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Important:
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First, look at the left triangle alone.
Two of its angles are 46° and 58° .  (46° + 58° ) = 104°
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The third angle in that triangle is 'x'. 
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At the point where 'x' and 'z' come together:
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Placed side-by-side, they form a straight line.
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Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°. 
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<h3>Which figures demonstrate a translation?</h3>

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