Question

from a window 15 M high above the ground in a street the angle of the elevation and depression of the top and the foot of the another house on the opposite side of the street are 30° and 45° respectively find the height of the opposite house also find the horizontal distance between the two houses

Answer 1

Answer:

Step-by-step explanation:

Let the image be like this ( the height is 15 m not 10 )

x = 30 and y = 45

In ΔABD,

BD = 15 M

SO TAN 45 = BD/AB

1= BD/AB

AB = 15 M

In ΔABC

TAN 30 = BC/AB

1/√3= H/15

H = 15/√3 = 5√3 M

Height of  opposite house = 15 + 5√3 = 5 ( 3 + √3 )m

Distance between the two houses = 15m