A speeding light camera is situated on a light
post above the ground and positioned so that
...
Mathematics, 27.05.2021 18:40, Lizzyloves8910
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?
Answers: 2
Mathematics, 21.06.2019 20:00, haleysmith8608
Given the graphed function below which of the following orders pairs are found on the inverse function
Answers: 1
Mathematics, 21.06.2019 20:30, Gabyngreen
What is the interquartile range of this data set? 2, 5, 9, 11, 18, 30, 42, 48, 55, 73, 81
Answers: 1
Mathematics, 21.06.2019 21:30, myhomeacc32
Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?
Answers: 1
Mathematics, 22.06.2019 00:00, emmagbales
Given the diagram below, michael writes, "segment ac is congruent to segment ac." which of the following reasons allow him to write this statement?
Answers: 1
Mathematics, 30.08.2019 20:00
Social Studies, 30.08.2019 20:00
History, 30.08.2019 20:00
Social Studies, 30.08.2019 20:00
History, 30.08.2019 20:00