Question

Building a and b are on horizontal ground.the angle of elevation of the top of building a from that of the lower building b is 15 degree.building a is 100 m in height and b is 80 m in height.find the distance between both the building

Answer 1

Step-by-step explanation:

distance =100m b/w both the building

Answer 2

The distance between the buildings CD = x = 74.64 m.

Step-by-step explanation:

From the figure shown in image,

Building a = AC = 100 m

Building b = DE = 80 m

Distance between the buildings = CD = x

From Δ ABC

$\tan 15 = \frac{AB}{BE}$

$\tan15 = \frac{20}{x}$

$x= \frac{20}{\tan 15}$

$x = 74.64$ m

Thus the distance between the buildings CD = x = 74.64 m