Question

Two wires tether a balloon to the ground as shown, how high is the balloon above the ground?
I've done it twice..

Answer 1

@sdfgsdfgs

Answer 2

@mukushla

Answer 3

is that correct?

Answer 4

@zepdrix :)

Answer 5

@rational

Answer 6

the answer I keep getting for height = 371.78 but that's not correct o.0

Answer 7

I would solve it this way:
\[\large \tan 75=\frac{h}{100+x}\ ..........(1)\]
\[\large \tan 85=\frac{h}{x}\ .........(2)\]
Rearranging (2) we get:
\[\large x=\frac{h}{\tan 85}\ ..........(3)\]
Plugging the value for x from (3) into (1) gives:
\[\large \tan 75=\frac{h}{100+\frac{h}{\tan 85}}\ ..........(4)\]
Now solve (4) to find the value of h.