Question about Super Tutor Trigonometry (ESDTRIG) for PC

# Angle of alevation

Suppose a tree 50 ft in height cast a shadow of length 60 ft. What is the angle of elevation from the end of the shadow to the top of the tree with respect to the ground?

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Height =50
length = 60
angle=x

tangent(x)=50/60
tangent(x)=0.833
x=39.8 degree

Posted on Mar 01, 2009

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### A tree on a hillside casts a shadow 215 ft. down the hill.if the angle of inclination of the hillside is 22 degrees to the horizontal and the angle of elevation of the sun is 52 degrees ,find the height of...

x is the height of tree, y and z are as denoted in picture:

1. cos(22°)=y/215==>y=cos(22°)*215=199.3 ft
2. sin(22°)=z/215==>z=sin(22°)*215=80.5 ft
3. tan(52°)=(x+z)/y==>x+z=y*tan(52°)=255.1 ft
4. x=255.1-z=255.1-80.5=174.6 ft

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Sep 06, 2011 | Casio fx-300ES Calculator

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