The angle subtended by the tower of top of the flagstaff is 90°. The height of the flagstaff is 10 m and the distance between the tower and flagstaff is 20m. find the height of the tower.
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Step-by-step explanation:
AB = 10M
BC = 20M
tan x = AB/BC
tan x= 10/20
1/tan x = 20/ 10
10/tan x = 20 .........1
tan(90 - x) = DE/AE
cot x = DE/20
1/cot x = 20/DE
DE/cot x = 20 ..........2
by (1) and (2)
10/tan x = DE/ cot x
10/(10/20) =DE/(20/10)
10×(20/10) = DE×(10/20)
DE = 40m
DE +EC = 40 + 10 =50m
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