Question

help please
In △PQR, find the measure of ∡P.

Answer 1

30.4°

35.9°

59.6°

54.1°

Answer 2

Are you familiar with the trig ratios?

Answer 3

no

Answer 4

not really @JoannaBlackwelder

Answer 5

Ok. I think you will need them for this problem, so let me give you a quick rundown.

Answer 6

In a right triangle, the ratios of the sides are always in proportion to each other.

Answer 7

@aryandecoolest @zepdrix

Answer 8

The ratio of the opposite side (to a particular angle) and the hypotenuse of the triangle is called the sin of the angle.

Answer 9

Usually written like\[\sin \theta=\frac{ opp }{ hyp }\]

Answer 10

30.4

Answer 11

Where the opposite side length is the side that is not touching the angle in question.

Answer 12

Please ignore the answer given. Does what I said make sense so far?

Answer 13

yeah its good @JoannaBlackwelder

Answer 14

The answer given is actually incorrect anyway.

Answer 15

Sweet.

Answer 16

what do i do next? @JoannaBlackwelder

Answer 17

You set up the equation with the information given:
\[\sin \theta=\frac{ 33.8 }{ 57.6 }\]

Answer 18

sorry it's coming 35.45, but not in option.

Answer 19

Simplify to give \[\sin \theta=0.5868\]

Answer 20

is it 35.9? @JoannaBlackwelder

Answer 21

Yeah, that is what I get. Did you take the inverse sin?

Answer 22

yes

Answer 23

And I thought you said you didn't know anything about trig ratios. ;)

Answer 24

lol i has a good teacher, thank you so much

Answer 25

No worries :)