Question

Give lengths to three significant digits and angle measures to the nearest tenth of a degree or nearest ten minutes. Solve each right triangle ABC.

Answer 1

angle B= 65.4 degrees, a=2.35

Answer 2

@terenzreignz

Answer 3

I see. What's angle A, then?

Answer 4

angle A is 24.6 degrees

Answer 5

mhmm.
so... we need to find the length of side b.
How do we do that?

Answer 6

i don't know is it ...\[\sin 65.4=\frac{ 2.35 }{ c }\]

Answer 7

In fact, that equation is true.
Go ahead, then, find c.

Answer 8

c=2.6?

Answer 9

good enough.
now find b.

Answer 10

b is 1.1?

Answer 11

how?

Answer 12

\[\cos65.4=\frac{ b }{ 2.58 }\]

Answer 13

I'd rather you didn't use the hypotenuse.
Because you already did some rounding here.
Try to exclusively use the given info as much as you can.

Take advantage of the tan function ^_^

Answer 14

i keep doing that lol... bad habit

Answer 15

tan A = a/b
And you already angle A, side a, so find b :)

Answer 16

i get the same thing.. :/

Answer 17

You should, because what you did earlier was correct, in essence.
I'd just rather you arrive at the answer using the given info...

I mean, heaven forbid, what if you got a wrong answer for c, huh? ;)

Answer 18

My answer key says that c=5.65 and b=5.14... so I don't why..

Answer 19

Hang on.

Answer 20

Okay, clean slate, okay?
Just for kicks, could you draw the right triangle?