eaticn of dic op and otomn of a building so metes high aobserved from

1.	eaticn of dic op and otomn of a building so metes high aobserved from the top of a tower are 30Â° and 60, respectively. Find the height of thetower and also the horizontal distance between the building and the tower
Answer» Here CD is the tower and AB is the pole. In △CDB, CD/BC = tan 60° => 50m/BC = √3 => BC = 50/√3m AE = BC AE = 50/√3m In △ADE, DE/AE = tan 30° => DE/50/√3m = 1/√3 => DE = 50/3m so the height of the pole is 50/3m

eaticn of dic op and otomn of a building so metes high aobserved from the top of a tower are 30Â° and 60, respectively. Find the height of thetower and also the horizontal distance between the building and the tower

Answer»

Here CD is the tower and AB is the pole.

In △CDB, CD/BC = tan 60°

=> 50m/BC = √3

=> BC = 50/√3m

AE = BC

AE = 50/√3m

In △ADE, DE/AE = tan 30°

=> DE/50/√3m = 1/√3

=> DE = 50/3m

so the height of the pole is 50/3m