269,012 views
14 votes
14 votes
In ARST, the measure of T=90°, the measure of R=9°, and RS = 46 feet. Find the

length of ST to the nearest tenth of a foot.

In ARST, the measure of T=90°, the measure of R=9°, and RS = 46 feet. Find the length-example-1
User Amram
by
2.2k points

2 Answers

18 votes
18 votes

Answer:

7.2

Explanation:

deltamath

User Jknielse
by
3.3k points
25 votes
25 votes

Answer:

x = 7.2

Explanation:

Hey There!

We can find the length of x by using law of sines

law of sines states that a side length divided by sin ( its opposite angle) is equal to another side length divided by sin (its opposite angles) so we setup an equation


(46)/(sin90) =(x)/(sin9)

now we can solve for x

step 1 multiply each side by sin 9

now we have


x=(46sin9)/(sin90)\\x=7.195985392

So x = 7.195985392

it says to round to the nearest tenth of a foot so x = 7.2

User Nikitah
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.