SOLUTION: the golden gate bridge has two main towers of equal height that support the two main cables. A visitor on a tour boat passing through san francisco bay views the top of one of the

Algebra ->  Trigonometry-basics -> SOLUTION: the golden gate bridge has two main towers of equal height that support the two main cables. A visitor on a tour boat passing through san francisco bay views the top of one of the       Log On


   

Question 942052: the golden gate bridge has two main towers of equal height that support the two main cables. A visitor on a tour boat passing through san francisco bay views the top of one of the towers and estimates the angle of elevation to be 30 degrees. after sailing 670 ft closer, he estimates the angle of elevation to this same tower to be 50 degrees. approximate the height of the tower to the nearest foot.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x=h%2Acot%2850%5Eo%29%2C670ft%2Bx=h%2Acot%2830%5Eo%29%29--->670ft%2Bh%2Acot%2850%5Eo%29=h%2Acot%2830%5Eo%29--->670ft=h%2Acot%2830%5Eo%29-h%2Acot%2850%5Eo%29--->670ft=h%2A%28cot%2830%5Eo%29-cot%2850%5Eo%29%29--->h=670ft%2F%28cot%2830%5Eo%29-cot%2850%5Eo%29%29--->h=highlight%28750ft%29 (rounded to the nearest foot).