Question

A and B are two points on the level ground near the tower P. If the angle of elevation of the top of the tower from B be double of that from A and AB=2BP find the angles of elevation of the tower from A and B

Answer 1

Answer:

Step-by-step explanation:

et h be the height of tower

tan A = h/50+25 i

tan B=h/25

tan 2A = h/25

2 tan A /1 - tan2 A = h/25 ii

from i and ii

2/1-tan2 A = 3

1-tan2A = 2/3

tan2 A=1-2/3

= 1/3

tan A=1/3–√

A=30

B=60

tan 60 = h/25

h= 253–√ meter