SOLUTION: At a certain point on the ground, Danny observes that the angle of elevation of the top of a building is 38°. Twenty-five meters nearer the building the angle of elevation is 65°

Algebra ->  Trigonometry-basics -> SOLUTION: At a certain point on the ground, Danny observes that the angle of elevation of the top of a building is 38°. Twenty-five meters nearer the building the angle of elevation is 65°      Log On


   

Question 1192562: At a certain point on the ground, Danny observes that the angle of elevation of the top of a building is 38°. Twenty-five meters nearer the building the angle of elevation is 65°. Find the height of the building.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Try to draw the picture exactly as described.
y, how tall the building
x, on the ground how far Danny from the building when angle of elevation 65 degrees

system%28x%2Fy=1%2Ftan%2865%29%2Cy%2F%28x%2B25%29=tan%2838%29%29

Solve for y.
y=%2825%2Atan%2865%29tan%2838%29%29%2F%28tan%2865%29-tan%2838%29%29------compute with any tool you want.