A woman wants to measure the height of a nearby tower. To this end, she places a 9ft pole in the shadow of the tower so that the shadow of the pole is exactly covered by the shadow of the tower. The distance between the pole and the tower is 168ft , and the pole casts a shadow that is 3.75 long. How tall is the tower? Round your answer to the nearest foot. (The figure below is not drawn to scale.)
2006-11-05 10:03:58 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
What figure? lol
2006-11-05 10:11:39 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Its just the ratio of two triangles, the pole creates a triangle with height to base of 9/3.75 and the tower is x / (168+3.75) Now solve for x.
2006-11-05 18:14:14 · answer #2 · answered by rscanner 6 · 0⤊ 0⤋
I would set up a proportion. the height of the tower to the height of the pole = the shodow of the tower to the shadow of the pole
x/9=171.75/3.75
now cross multiply
3.75x=171.75(9)
3.75x=1545.75
x=412.2 ft.
2006-11-05 18:25:58 · answer #3 · answered by mom 7 · 0⤊ 0⤋
x=9*171.75/3.95=412.2'
2006-11-05 20:24:40 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋