Question

Can someone please give me the (Answers) to this? ... please ...

I need help….

Answer 1

Answers:

1. Area =
   `16√(3)` square inches.
2. Choice A
3. Choice B
4. Ladder is 14 feet long.

=========================================================

Step-by-step explanation:

Problem 1

Focus on one of the triangles (they're identical copies of each other).

Each triangle is a 30-60-90 triangle.

The hypotenuse is 8 which cuts in half to 4 to be the short leg.

The long leg is
`√(3)` times that of the short leg, meaning the long leg is
`4√(3)` inches long.

The area is therefore length*width =
`4*4√(3) = 16√(3)` square inches.

------------------------------

Problem 2

For a 30-60-90 triangle, the short leg x doubles to 2x when getting the hypotenuse. Only choice A fits with this description when going from 2 to 4.

------------------------------

Problem 3

The legs of a 45-45-90 triangle are the same length. This narrows our answer choices to B and D. We can conclude the final answer is B since the hypotenuse is exactly
`√(2)` units longer compared to the leg length.

------------------------------

Problem 4

A 30-60-90 triangle forms.

The 60 degree angle is between the ladder and the horizontal ground. The 30 degree angle is placed up top. Opposite the 30 degree angle is the horizontal side, which is of length of 7 feet mentioned. Doubling this gets to 2*7 = 14 feet and it's the hypotenuse.