SOLUTION: A shadow is being cast from a tall pillar. the pillar is 30 feet tall and the shadow is 10 feet long. use guess and check method to estimate the angle that the shadow reaches the g

Algebra ->  Trigonometry-basics -> SOLUTION: A shadow is being cast from a tall pillar. the pillar is 30 feet tall and the shadow is 10 feet long. use guess and check method to estimate the angle that the shadow reaches the g      Log On


   

Question 1110348: A shadow is being cast from a tall pillar. the pillar is 30 feet tall and the shadow is 10 feet long. use guess and check method to estimate the angle that the shadow reaches the ground.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x=10%2Cy=30%2Cr__hyptoenuse%29

r%5E2=100%2B900=1000
r=sqrt%281000%29
r=10%2Asqrt%2810%29
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g, the measure of angle at the ground, shadow meets ground;
cos%28g%29=10%2F%2810%2Asqrt%2810%29%29

cos%28g%29=1%2Fsqrt%2810%29

cos%28g%29=sqrt%2810%29%2F10

g, arcWhoseCosineIs sqrt%2810%29%2F10

g=cos%5E%28-1%29%280.3162%29

highlight_green%28g=72%2Adegrees%29