Online Course Discussion Forum

Geometry

 
 
Picture of Jerry Huang
Geometry
by Jerry Huang - Monday, January 10, 2022, 10:03 PM
 

Math Challenge I-C Geometry, problem 4.13, problem 4.15

 
Picture of John Lensmire
Re: Geometry
by John Lensmire - Friday, January 14, 2022, 2:16 PM
 

Sorry for the delay. In case you still had questions about these, here's a few hints.

For 4.13, remember that $\tan(\theta)$ is equal to the opposite side divided by the adjacent side in a right triangle. Do you know a nice right triangle that has legs of length $3$ and $4$?

For 4.15, in a right triangle, $\sin(\theta)$ is equal to the opposite side divided by the hypotenuse. To try it out for this problem, what happens if you make the hypotenuse length $13$ and the opposite side length $11$. Can you find the third side of the right triangle?