Question

The distance from where the tower is observed is 60 feet from its base and the angle of elevation to the top of the tower is 45°. The height of the tower is OPTIONS 72 FEET 60 feet 45 feet 63.018 feet  

who will answer the fastest I will mark them brainliest
​

Answer 1

✬ Height = 60 feet ✬

Step-by-step explanation:

Given:

• Distance from where tower is observed is 60 feet.
• Angle of elevation to the top of tower is 45°.

To Find:

• What is the height of tower?

Solution: Let the height of tower be h feet and distance of observer from twoer's foot is 60 .

In right angled triangle ,we have

• AB = h = ( Height of tower / Perpendicular )
• BC = base = 60
• ∠ABC = 90°
• ∠ACB = 45° ( Angle of elevation )

Now, from ∆ABC ,we get

$\implies{\rm }$ tan 45° = Perpendicular/Base

$\implies{\rm }$ 1 = AB/BC

$\implies{\rm }$ 1 = h/60

$\implies{\rm }$ 60 = h

Hence, the height of tower is h = 60 feet. Option C is correct.