The measure of ∠S is 42.2°
Step-by-step explanation:
We can see that given triangle is a right-angled triangle so we can use trigonometric ratios to find the measure of the required angle.
Given
[tex]ST = 7\ feet\\TU = 4.7\ feet\\[/tex]
∠U = 90°
As we know the value of perpendicular and hypotenuse we can use the trigonometric ratio of sine.
So,
[tex]sin\ x = \frac{Perpendicuar}{hypotenuse}\\sin\ x = \frac{TU}{ST}\\sin\ x = \frac{4.7}{7}\\sin\ x = 0.6714\\x = sin^{-1} (0.6714)\\x = 42.175[/tex]
Rounding off to the nearest tenth
x = 42.2°
Hence,
The measure of ∠S is 42.2°
Keywords: Triangle, ratios
Learn more about triangle at:
- brainly.com/question/10364988
- brainly.com/question/10435816
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