Sarah loves her everyday job of studying volcanos. She mostly helps find a way up and down the volcano without hurting yourself. First she has to find out how far the top of the volcano is from the bottom of the ground. She'll use trig to figure this out. Her equation ended up being: 40 divided by Cos(32) which equals 47.2. So the length from the top of the volcano to the bottom is 47.2 meters long.
x
32
40
Sarah needs to indicate how far the lava will spill out. This will help everyone know how far away they need to stay from the volcano. She realized she needed to use trig. Her equation was: 72 divided by Sin(35) which is 125.5.
The orange cone indicates how far the lava will spill out!
x
35
72
Sarah came across another volcano today. She was not sure what angle rocks and lava would spill out of the volcano. She figured that she could use trig because she knows how long and tall the volcano is. Her equation is :Tan -1 (24/28) which is equal to 40.6.
x
28
24
Sarah came across another volcano. She needed a way to get down from the volcano after studying the top. She needed to make a ladder to climb down. She realized once she started building, she could use the Pythagorean theorem to figure out how many meters the ladder has to be. The equation she created is 3^2 + 7^2 = sQRT of 58 which is equal to be 7.6 meters.
3
x
7
Sarah discovered that since her triangle to measure the volcano was a 45-45-90 triangle then the measurements of the sides were 4, 4 and 4 radical 2.