<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
Answer:
x-8>-3 {x|R, x>5 is right answer
Answer:
Time left for each question is less than 5.5 minutes
Step-by-step explanation:
Given that:
Raphael is trying to solve 5 math questions in less than 20 minutes.
3 questions have been completed which have taken 3 minutes each.
To find:
How much time is left with Raphael for each question so as to reach his goal.
Solution:
First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.
3 
3 = 9 minutes
Time left = Total Time - Time already consumed
Time left = 20 - 9 = 11 minutes
Number of questions to be solved = Total questions - Questions solved
Number of questions to be solved = 5 - 3 = 2
Average time left for each question = Time left divided by Number of questions to be solved
Average time left for each question = 11 
2 = 5.5 minutes
Therefore, time left for each question is less than 5.5 minutes.
Here are all the correct answers in the order they are asked.
1. Sphere - all the points from the center create a rounded space
2. Triangular pyramid - A triangular base and three triangular lateral faces
3. Cube all six faces are squares
4. Triangular prism - two triangular bases and four rectangular lateral faces
5. Cylinder two circular bases and a rounded lateral face
6. Rectangular pyramid -rectangular base and four triangular lateral faces
7. Cone- One circular base 1 rounded space that comes to a point.
8. Rectangular prism - 6 rectangular faces
