Mathematics: In δstu, the measure of ∠u=90°, the measure of ∠t=47°, and st = 7.2 feet. find the length of us to the nearest tenth of a foot.

In δstu, the measure of ∠u=90°, the measure of ∠t=47°,

Ответ:

shygrl05

14.01.2022

Mathematics

$US=5.3\ ft$

Step-by-step explanation:

we know that

In the right triangle STU

The sine of angle T is equal to the opposite side angle T divided by the hypotenuse

$sin(T)=\frac{US}{ST}$

substitute the values

$sin(47\°)=\frac{US}{7.2}$

$US=(7.2)sin(47\°)=5.3\ ft$

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Ответ:

tylerharmsss

14.01.2022

Mathematics

Applying the trigonometry ratio, SOH, the length of US is: 5.3 feet

Recall the Trigonometry Ratio, SOH:

SOH stands for: sin ∅ = Opposite/hypotenuse

Given the following for ΔSTU:

m∠U = 90°m∠T = 47°Side ST = 7.2 feet.

Therefore, applying the trigonometry ratio, SOH, we have the following:

Reference angle (∅) = 47°

US = opposite = ?

ST = hypotenuse = 7.2 feet

Plug in the values:

sin 47° = US/7.2

US = (sin 47°)(7.2)

US = 5.3 feet

Learn more about trigonometry ratio on:

link

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Ответ:

joelpimentel

10.11.2021

Mathematics

B. is the correct answer
hope you ace that test!

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In δstu, the measure of ∠u=90°, the measure of ∠t=47°, and st = 7.2 feet. find the length of us to the nearest tenth of a foot.

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