Question

Hey mate can you solve it
vertical Tower is surmounted by flag of height 5m at the point on ground the angle of elevation of bottom and top of flagstaff are 45 and 60 degree respectively find the height of Tower

Answer 1

AB denotes the height of the tower BD the flagstaff and P the given point note that there are two right triangles PAB and PAD we are required to find the length of the flagstaff,DB and the distance of the building from the point P is PA

we have ,

tan 60°=AB/AP

√3= 5/AP

AP=5√3

,the distance from the tower from P is 5√3m=8.66m(√3=1.732)

let us suppose DB=xm ,

AD=(5+x)m

now in right triangle PAD =tan 45°=AD/AP=5+x/5√3

1=5+x/5√3

.., x=5(√3-1)

5×1.732-5 (√3=1.732)

= 8.66-5

=3.66

so, the height of the pillar is 3.66m