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kenny6666 [7]
2 years ago
10

HELP ME solve for the right triangle

Mathematics
1 answer:
VikaD [51]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent ratios in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{VW}{VX} = \frac{7}{VX}

Multiply both sides by VX

VX × cos41° = 7 ( divide both sides by cos41° )

VX = \frac{7}{cos41} ≈ 9.3

-----------------------------------------------------------------------

tan41° = \frac{opposite}{adjacent} = \frac{WX}{VW} = \frac{WX}{7}

Multiply both sides by 7

7 × tan41° = WX, thus

WX ≈ 6.1

-------------------------------------------------------------------------

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for ∠ X

∠ X = 180° - (90 + 41)° = 180° - 131° = 49°

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