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If t=29.6 and r=9.5 find R. Round to the nearest tenth

If t=29.6 and r=9.5 find R. Round to the nearest tenth-example-1
User Brian Var
by
5.6k points

2 Answers

6 votes

Answer:

The correct answer option is C. 18.7°.

Explanation:

We are given a right angled triangle, SRT, with two known sides, r and s.

We are to find the measure of the angle R.

For that, we will use sin.


sin R = \frac { r } { t }


tan R = \frac { 9 . 5 } { 2 9 . 6 }


R = sin' 0.320

R = 18.7°

User Evgeny Gorbovoy
by
6.2k points
6 votes

Answer:

18.7

C

Explanation:

This is a trig question. You are going to be using one of the 6 fundamental definitions.

Formula

Trig Function = opposite/hypotenuse

The trig function turns out to be the sine of R

Sin(R) = opposite / hypotenuse

Sin(R) = r / t

Givens

r = 9.5

t = 29.6

Solution

sin(R) = 9.5/29.6

sin(R) = 0.3209

R = sin^-1(3209)

If it is your calculator that you are finding confusing, here is how you put it in.

2nd R

Sin^-1

0.3209

=

R = 18.72 degrees.

The correct answer is C

User DeltaLima
by
6.2k points