Question

Express x in terms of the other variables in the diagram below:

Answer 1

is it like...r^2 + (x^2 +t^2) = z^2?

z being a variable i made up for the hypoteneus?

Answer 2

@Timer, I don't think you're allowed to add another variable since the question said in terms of the variables already given.
To solve this question, you should try using a property of similar triangles: that corresponding sides are in the same ratio. Do you know to do next?

Answer 3

@duplicitycheese errr

Is that like Sin cos and tan? or?

Answer 4

Yup, tan would work. Just only use the variables you have. Since its the tan of the same angle, you can equate the results.

Answer 5

@duplicitycheese How do I incorporate H?

Answer 6

From the diagram, you have two similar triangles. You might want to prove they are similar first. Then you equate the tank ratios of each one.

Answer 7

Tan = h/t
Tan = r/x+t

h/t : r/x+t?

Answer 8

k is the angle

Answer 9

yup! now just simply simplify. =D

Answer 10

Thank you :D