Inside a semicircular tunnel of diameter 30 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam?

The height of the beam is:

Step-by-step explanation:

The radius of the tunnel is r = 15 feet

The distance of the beam from the center of the tunnel is:

We have a right triangle, where:  

Let's use Pythagoras theorem.

Therefore, the heigh of the beam is:

I hope it helps you!

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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