Question

if one looks from a tower of 10cm height.top of flagstaff the depression angle of 30 is made looking at the bottom of the staff the angle of depression made is 60 find the height of the flagstaff

Answer 1

p/b=tan30
(10+x)/b=1/root3
(10+x)root3=b.....1


p/b=tan60
10/b=root3
10/root3= b......2
1..and 2..we get

(10+x)root3=10/root3
(10+x)=10root3×root3
10+x=10×3
x=30-10
x=20