Problema Solution
The length of a string between a kite and a point on the roof of a 10m high building is 180ms. If the string makes an angle Ө with the level ground such that tanӨ = 4/3, how high is the kite from the ground?
Answer provided by our tutors
Length of the string = 180 m
Height of the building = 10 m
Given : tan O = 4/3
Let the kite is at a distance of "x" m from the building
Total distance from from ground to the kite is (x + 10)
Sin A = 4/5 = x/180
x = 144 m
Total height = 144 + 10 = 154 m
A diagram could look like this:
kite
+___________
/ | roof
/ |
/ Ө |
/ |
/ |
/ |
/ |
/ |
o |___________