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do you know the law of cosines?

no

we learned it like 2 yrs ago but i forgot

*of sides

ok so what is the angle measure?

you have to find it with law of cosines, I got about 126.9 degrees

law of cosines? how do you find that? with ur calc?

\[c^2=a^2+b^2-2abcos(\theta)\]
c=20
a=7
b=15
solve for theta. You can use a calculator

dont have a calc on me but ok what do you do after you get 126.9?

you can find its compliment by taking 180-126.9=53.1

Now you have a right triangle of hypotenuse 15 and angle 53.1 right?

and the leg opposite the angle is your height

so 15*sin(53.1)=h
h=12

i got 20

but i am probably wrong again

it cant be that big the hypotenuse is 15

ok thanks rsvitale!

yw

oh where do i put the angle 53.1? like if i were drawing a pic of it

we used law of cosines to find the angle opposite side of length 20

so the one diagnol to the the height of the building? ok

yep the one opposite the height of the building is 53.1

oh there's a much easier way to do this too. do you want to know the simpler way?