george has been hired to paint the smtihs house. he need to be sure that his ladder reach the highest point of the house, so he decides to use his shadow method the measuring stick is 3 ft and its shadow of the house is 45 the triangles are formed similar

To determine if George's ladder will reach the highest point of the Smiths' house using the shadow method, we can use the concept of similar triangles.

Let's call the height of the house "H" and the length of George's measuring stick "L."

In the given information, it states that the length of the measuring stick is 3 feet and its shadow (presumably the measurement of the measuring stick's shadow) is 45. This means George's measuring stick casts a shadow that is 45 feet long.

Now, we can set up a proportion using the similar triangles formed by the measuring stick and its shadow, and the house and its shadow:

L / H = 3 / 45

To find out if George's ladder will reach the highest point of the house, we need to solve for H, the height of the house.

Cross-multiplying the equation, we get:

L * 45 = 3 * H

Simplifying further:

45L = 3H

Dividing both sides of the equation by 3, we find:

H = 15L

Therefore, to determine if George's ladder will reach the highest point of the house, we need to make sure that the height of the house (H) is less than or equal to 15 times the length of the measuring stick (L).