# [SOLVED] Simple Trig Question

• Feb 8th 2009, 11:20 AM
TokiAnn
[SOLVED] Simple Trig Question
A hemispherical bowl of radius 38 cm is filled with water to a depth of 12 cm. Find the larest angle through which the bowl may be tipped without spilling any water.

PLEASE someone help me do this problem!! THANK YOU!
• Feb 8th 2009, 11:54 AM
Soroban
Hello, TokiAnn!

Did you make a sketch?

Quote:

A hemispherical bowl of radius 38 cm is filled with water to a depth of 12 cm.
Find the largest angle through which the bowl may be tipped without spilling any water.

Code:

      *           *       *      *       *        *       *        |  * 38               26|  θ *       *- - - - + - - - -*         *:::::12|:::::::*           *:::::|:::::*               * * *

We see that: . $\sin\theta \:=\:\frac{26}{38} \:=\:0.684210526$

Therefore: . $\theta \:\approx\:41.2^o$