Question

two persons on the same side of a tall building notice the angle of elevation to the top of the building be 30 and 60 respectively. If the height of the building is 72 m find the distance between two persons

Answer 1

The answer is 83.41m

Answer 2

Answer:

Step-by-step explanation:

This is a question on Trigonometry.

The bigger the angle of elevation the closer the person to the building.

We will use Tan in this case.

The height of the two right angled triangles are the same.

Tan = Opposite/adjacent

In our case:

Tan 60 = 72/b

base = 72/Tan 60

= 72/1.7321

Base = 41.57 m

Taking angle 30 we have :

Base = 72/Tan 30

= 72/0.5774

= 124.70 m

This is the distance from the base of the building to the first person.

The distance between the two is given as :

Distance = 124.70 - 41.57m = 83.13m