Sohcahtoa mountain has an elevation of 800m.

Question

Eastern peak has a higher altitude.  George was taking a break from skiing and was on top of Sohcahtoa mountain.  He wondered how much higher eastern mountain was.  He was able to see the base at an angle of 41 degrees and look at the peak at am angle of 27degrees.  How much higher is Eastern Mountain?

Answer 1

Draw and label a diagram.

Use tan 41 = 800 /d to determine distance between the two.

Use tan 27 = h / d to determine the additional height of the mountain.