Hey there! Can you help me finish some measurements for my math class?
If the rope is 10 ft to my left and 7 ft above me then I can use the Pythagorean Theorem! 10*10 + 7*7 = 149. The square root of 149 is roughly 12.2. So the rope is about 12.2 feet away!
How far away are the rocks from the base of the tree?
How far away is the end of the rope ?
Well, I'm about 23 feet away from the tree and I'm looking up at an angle of around 36 degrees so I can use tangent to solve this! Tan36= x/23, X=16.7. Add that to my height of 5 feet and the tree is 21.7 feet tall!
How tall is the tree?
The top of the volcano is 534 meters tall and I'm 703 meters away from it. Lets use sine to find the angle of elevation. SinX= 534/703. X= 49.4.So the angle of elevation is roughly 49.4 degrees!
The rocks are 12 feet away from the top of the palm tree with an angle of elevation of 28 degrees so we should use cosine. Cos28 = x/12, X=10.6. So the rocks are about 10.6 feet away from the bottom of the tree!
Thanks to you I was able to turn in my math homework in on time!