Solve for x. Round your answer to the nearest tenth if necessary.
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i think, is question ka answere = 15
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The value of the 'x' is 3.7 units
Given:
In the right-angle triangle,
Hypotenuse is 15 units and one of the angles is 42°
To find:
Solve for 'x'
Solution:
Formula used:
From trigonometric ratios
The cosine (cos) of an angle in a right triangle is the ratio of the length of the adjacent side to the angle to the length of the hypotenuse.
=> cos θ = Adjacent/Hypotenuse.
From the figure,
The length of the Adjacent side of the angle = x
And the length of Hypotenuse = 15
=> cos 42° = x/15
=> 0.74 = x/5
Multiply by 5 on both sides
=> 5 [x/5] = 5 × 0.74
=> x = 3.7
Therefore,
The value of the 'x' is 3.7 units
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