A speeding light camera is situated on a light post above the ground and positioned so that
it is aimed at the ground at a 30-degree
angle. It captures the picture of the back
license plate of a car at a 60-degree angle.
The car was 10 feet from the light post on
which the camera was sitting and the camera
is 20 feet away from the back of the car as
shown in the diagram.
Three friends are walking by and are wondering about the height of the camera. They discuss three ways of determining this distance:
• Benita:
Benita knows that tangent 30° = √3. She does the following calculation to find the height of the camera.
�������������� 30° =10��; so the height of the camera is 10
√3
• Malcolm:
Malcom knows that sine 60° =√32. He does the following calculation to find the height of the camera.
�������� 60° =��20; so the height of the camera is 10√3
• Ramon:
Ramon decides to use the Pythagorean Theorem to find the height of the camera since the triangle is a right triangle.
102 + ��2 = 202
��2 = 400 − 100
�� = √300
Did each friend solve the problem correctly? Explain why.
1. Did Benita solve the problem correctly? Explain why.
2. Did Malcolm solve the problem correctly? Explain why.
3. Did Ramon solve the problem correctly? Explain why.
4. Benita decided that she wanted to determine the height of the same triangle. Could she use the ratios from a 30-60-90 triangle to figure out its height? Why or why not?

Fanny mendelssohn manages all the magazines and paperback books at a local grocery store. she prices many paperbacks to sell at $7.99. the cost to the store is $5.29. what is the markup rate on a paperback book, based on its cost?

Which letters from the table represent like terms? a and b b and c a and d b and d

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?