Two buildings are 35 feet apart. The angle of elevation from the top of the smaller building to the top of the taller building is 42Ëš. The smaller building is 32 feet high. Find the height of the taller building.

Respuesta :

Answer:

Height of the taller building is 63.5ft

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

Let the small building be A and the taller building be B

From the sketch the two buildings form a right angle triangle

We can solve for x which is the height of the taller building relative to the small building using

SOH CAH TOA

Applying TOA we have

Tan θ= opposite/adjacent

Tan 42°= x/35

x= Tan 42*35

x= 0.9*35

x= 31.5ft

Hence the height of the taller building is = x+height of small building = 31.5+32= 63.5ft

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