SOLUTION: I have a triangle of 10in base and x height. It doesnt give me the diaganol line but it does give me that 10 and x meet at a 90 degree angle and the diaganol and x meet at 60 and o

Algebra ->  Triangles -> SOLUTION: I have a triangle of 10in base and x height. It doesnt give me the diaganol line but it does give me that 10 and x meet at a 90 degree angle and the diaganol and x meet at 60 and o      Log On


   

Question 258656: I have a triangle of 10in base and x height. It doesnt give me the diaganol line but it does give me that 10 and x meet at a 90 degree angle and the diaganol and x meet at 60 and of course I figured out the point was 30. How do I solve this?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us see the Triangle
----> "base" & "x" are perpendicular , having the "diagonal" and "x" meet at 60 deg.

By Trigo Function:
cos30%5Eo=adj%2Fhyp=10%2Fd
d=10%2Fcos30%5Eo=green%2811.55in%29, DIAGONAL

Also, tan30%5Eo=opp%2Fadj=x%2F10
x=%28tan30%5Eo%29%2810%29=green%285.78in%29, HEIGHT

Check via Pyth Theorem: d%5E2=x%5E2%2Bb%5E2
11.55%5E2=5.78%5E2%2B10%5E2
133.4in%5E2=33.4in%5E2%2B100in%5E2
133.4in%5E2=133.4in%5E2

Thank you,
Jojo