The Leaning Tower of Pisa leans 5.6° from the vertical. A tourist stands 105 meters from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2°. Find the length of the tower to the nearest meter.
I'm not looking for someone to answer it for me, though you can do that too. Just need someone to tell me how to go about solving this. I know I have to draw a picture, but I'm stumped after that.
Savanna
The leaning tower and the line of sight of the tourist form a triangle. For this problem your going to split up the base this triangle into two sections. Part of the base will = x & the other part will = 150 - x. So you will be able to find the tangent of 84.4 = h/x and the tangent of 29.2 = h/(150-x). Manipulate both equations to isolate h. Set these to h equations equal to each other and solve for x. Plug this x value into one of the tangent equations and then solve for h.
Maria
Recently, about 70 metric tons of soil were removed from under a leaning tower, and the angle the tower made with the ground was increased by about 0.7 degrees°. Before that, a point near the top of the tower was 53.7 m from a point at the base (measured along the tower), and this top point was directly above a point on the ground 4.64 m from the same base point. See the given figure. How much did the point on the ground move toward the base point?