The measure of angle y is 52.02°, computed using trigonometric expressions.
Trigonometric expressions are the ratios of the sides of a right triangle, concerning any of its interior acute angles.
The six trigonometric expressions for the angle θ are:-
- sin θ = opposite/hypotenuse
- cos θ = adjacent/hypotenuse
- tan θ = sin θ/cos θ = opposite/adjacent
- cot θ = 1/tan θ = cos θ/sin θ = adjacent/opposite
- sec θ = 1/cos θ = hypotenuse/adjacent
- cosec θ = 1/sin θ = hypotenuse/base.
In the question, we are asked to find the measure of angle y.
Using the trigonometric expression of cos θ, for the angle y, we get:
cos y = 8/13 {adjacent/hypotenuse},
or, y = cos⁻¹(8/13),
or, y = 52.0201275551 ≈ 52.02 (Rounding to the nearest hundredth, that is, up to two decimal places}.
Thus, the measure of angle y is 52.02°, computed using trigonometric expressions.
Learn more about trigonometric expressions at
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