Practice 7-Similar Figures and Thales
Level Y
1. Eve wants to measure the height of a building. To do so, she places her
phone, which is 15 cm long, in parallel to the building and takes the following
measurements with a laser:
35 cm
30 cm
3 465 cm
15 cm
a. How tall is the building?
b. What is the distance between the bottom part of the phone and the bottom
part of the building?
N
2.
Ответы
To calculate the height of the building and the distance between the bottom part of the phone and the bottom part of the building, you can use similar triangles.
a. Calculate the height of the building:
First, we need to find the scale factor between the phone and the building. The scale factor is the ratio of the phone's height to the corresponding measurements on the building.
Scale factor = Phone height / Measurement on the building
Scale factor = 15 cm / 30 cm = 0.5
Now, use the scale factor to find the height of the building:
Height of the building = Measurement on the building / Scale factor
Height of the building = 345 cm / 0.5 = 690 cm
So, the height of the building is 690 cm.
b. Calculate the distance between the bottom part of the phone and the bottom part of the building:
You can use the same scale factor to find this distance:
Distance = Measurement on the building - Phone height
Distance = 30 cm - 15 cm = 15 cm
The distance between the bottom part of the phone and the bottom part of the building is 15 cm.