Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

radio tower casts a shadow of 8.2 ft long and 836-in 4th grader walking home casts a shadow of 1.5 inches. how tall is the radio tower?

Radio Tower Casts A Shadow Of 82 Ft Long And 836in 4th Grader Walking Home Casts A Shadow Of 15 Inches How Tall Is The Radio Tower class=

Sagot :

Answer

The height of the radio tower is 196.8 ft long

Step-by-step explanation:

Let the height of the radio tower be x

Given that

The base of the radio tower is 8.2ft long

The height of the 4th grader = 36 ft long

The base of the 4th grader = 1.5 ft long

To find the value of x

Since the figures are similar

We will be applying the triangle similarity theorem

Let assume the height of the radio tower is AB

The base of the radio tower is BC

Also, let the height of the 4th grader be XY

Let the base of the 4th grader be YZ

This implies that

AB = x

BC = 8.2

XY = 36

YZ = 1.5

Applying the triangle similarity theorem

We will have

AB / XY = BC / YZ

x / 36 = 8.2 / 1.5

Cross multiply

x * 1.5 = 8.2 * 36

1.5x =295.2

Divide both sides by 1.5

1.5x/1.5 = 295.2/1.5

x = 295.2 / 1.5

x = 196.8 ft long

Hence, the height of the radio tower is 196.8 ft long

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.