Question

medals+fan
1)set up the equations that would allow you to solve for x and y, solve once set up. give your answers in simplest radical form
2)set up the equations that would allow you to solve for a and b, solve once set up. give your answers in simplest radical form

Answer 1

For a, since we have two unknowns we need two equations. Since it is a right triangle, can we relate x, y, and 5 together? How about x, 30, and 5?

Answer 2

do you know the trigonometric ratios?

Answer 3

for number 2

Answer 4

and no I never learned it

Answer 5

Im really confused

Answer 6

Have you learned Pythagorean theorem? if so, that will give us 1 equation.

Answer 7

um yes I think so a2+b2=c2 or was it minus

Answer 8

that right c^2 is the longest side( the hypotenuse)

Answer 9

Correct, so for the first triangle, where would we put x? how about y? how about 5?

Answer 10

I drew a picture @kmeis002 and that means the longest side is y?

Answer 11

That is correct, so that would go into \(c^2\):
\[a^2 + b^2 = y^2 \]
So a =x and b = 5 (or vice versa)
\[x^2 + 25 = y^2 \]

Answer 12

Now we just need to learn the definitions of \(\sin(x), \cos(x), \tan(x)\)

Answer 13

OKay. I think I got that one

Answer 14

We need one more equation, but notice that the definition of the functions above are:
\[\sin(\theta) = \frac{b}{c} \\
\cos(\theta) = \frac{a}{c}\\
\tan(\theta) = \frac{b}{a} \]
For the triangle pc