# Finding a Side of a Triangle Using Basic Trig

My sister asked me for help on how to do this question, and for the life of me I couldn't figure out how to do it. When she was given this question a few days ago, she was only aware of the relationship between opposite sides, adjacent sides, and hypotenuses for sine, cosine and tangent("SOH CAH TOA"). Also note that line h and line b are perpendicular to each other, so there is a right angle where those two line segments meet. So the question is to find h, given that b=50, using no trigonometry other than Pythagoras' Theorem and the "SOH CAH TOA".

Note: For anybody unfamiliar with "SOH CAH TOA", it's just an easy way to remember that

$sin\theta $$=$$\frac{opposite}{hypotenuse}$

$cos\theta$$=$$\frac{adjacent}{hypotenuse}$

$tan\theta$$=$$\frac{opposite}{adjacent}$

• Do we know anything about a and c? – JB King Jun 4 '13 at 23:42
• No information is given about a or c. – Sujaan Kunalan Jun 4 '13 at 23:53