Find the ratio in which the point (-3, p) divides the line segn(-2 3).

1.	Find the ratio in which the point (-3, p) divides the line segn(-2 3). Hence, find the value of p.19. The angles of depression of the top and bottom of a 50 m high building from the top of a tower are 45and 60 respectively. Find the height of the tower and the horizontal distance between the tower andthe building. (Use 3 -173)
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 45° => DE/50/√3m = 1 => DE = 50/√3m so the height of the pole is 50/√3m

Find the ratio in which the point (-3, p) divides the line segn(-2 3). Hence, find the value of p.19. The angles of depression of the top and bottom of a 50 m high building from the top of a tower are 45and 60 respectively. Find the height of the tower and the horizontal distance between the tower andthe building. (Use 3 -173)

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 45°

=> DE/50/√3m = 1

=> DE = 50/√3m

so the height of the pole is 50/√3m