Question

can someone give me a clue how to solve the attached image finding all sides and angles in both triangles?

Answer 1

image is attached

Answer 2

I know to use laws of sines and cosines...just not sure how to split the bottom side or the top two angles in the top of the two triangles

Answer 3

First of all, you seem to have drawn an altitude from the base to point C. Did you intend to draw an altitude? If so, do your best to show that this line is perpendicular to the base.

Answer 4

Or did you intend the drawing to look as it does?

Answer 5

okay...I am certain that is an altitude...

Answer 6

Good. That helps ... a lot!

Answer 7

i wish it would've helped me:)

Answer 8

angle A is 58 degrees, and the hypotenuse of that triangle is 29. How would you go about finding the height of the largest triangle in your diagram? I've called that the "altitude."

Answer 9

sin 58 = x/29 so altitude is 29 * sin58

Answer 10

Think: which trig function would work best here? Which other function would work?

That looks good. I assume that your "x" refers to the altitude of the largest triangle.
To 2 decimal places, what is the x, the altitude?

Answer 11

24.59

Answer 12

Beautiful! What would you like to determine next?

Answer 13

the line left of the altitude?

Answer 14

Here's where we run into some ambiguity. I had thought that you and I had agreed that the solid line was actually the altitude. So, it's not?

Answer 15

could you possibly take and share a screen shot showing the problem in question?

Answer 16

nope...god...I am sorry...

Answer 17

you misunderstood me...or I didn't clarify well...

Answer 18

Set me straight. Which assumptions should I make about your drawing and your goals?

Answer 19

the solid line is NOT AN ALTITUDE...the dotted line is the altitude...the solid line to the left is the one I need to determine...

Answer 20

is it possible to find it?

Answer 21

I see. Happy to have that clarification. At least, we do now have the altitude: 24.59.

Answer 22

What approaches have you considered using to determine the length of that solid line?

Answer 23

yes and I have angle C and side AB
Measure angle C is 50.933, measure angle B is 71.067 and side AB is 23.8036

Answer 24

I need the 2 angles that make up angle C or just one of them...or the two segments that make up AB or just one of them...or any one of those four unknowns...would allow me to find the other three...

Answer 25

I must go to lunch...but be back in a few minutes...thank you for your help...

Answer 26

OK. If you like, msg me when you return. Can't promise I'll be immediately available, but do know I'll be on at various times today.

Answer 27

i am back...