A 80 ft B 264 ft C 60 ft D 72 ft 144 ft 120 ft 000 160 ADO 0

A. 80 ft

B. 264 ft

C. 60 ft

D. 72 ft

Solution

Solution:

Above Image is consist of two similer triangle

Let triangle formed by tree ATB ( T is base of tree and B is at top of tree ) and by building ADC ( D is base of building and C is at top of building)

AD = 2AT = 120

AC=2AB = 144

and angle at A is common in both triangle

therefore they are similer to each other by SAS condition

Hence

height of tree = (1/2) height of building

= (1/2) *160

= 80 ft

Answer: Option (A) is correct