- Author:
- Hannah Hynes-Petty
- Subject:
- Mathematics
- Material Type:
- Assessment, Homework/Assignment
- Level:
- High School
- Tags:
- License:
- Creative Commons Attribution
- Language:
- English, Armenian
- Media Formats:
- Downloadable docs
Education Standards
OSPI Statistics and Geometry Instructional Task: Measuring Angles
Overview
This resource was created by the Washington Office of Superintendent of Public Instruction.
Task
OSPI Statistics and Geometry Instructional Task D
Statistics and Geometry; Standards G-SRT.6, Claim 3B; G-SRT.8, Claim 1
Measuring Angles
From a point 120 m away from a building, Serena measures the angle between the ground and the top of a building and finds it measures 41˚.
Serena wants to determine the height, y, of the building. She claims she can use the cosine of the 41˚ angle to determine z and then use the sine of the 41˚ angle to determine y.
- Justify or refute her claim. Show your reasoning using numbers and words.
- Find the height of the building using another method. Show your work. Round to nearest meter.
Rubric
Rubric
Question Number | Standard/Claim | Description |
D | G-SRT.6/Claim 3B G-SRT.8/Claim 1 | A 2-point response demonstrates reasonable understanding of the standards and claims by doing all the following:
States a whole number value in interval [104, 106] meters. |
A 1-point response demonstrates partial understanding of the standards and claims by doing two of the following:
States a whole number value in interval [104, 106] meters. | ||
A 0-point response demonstrates almost no understanding of the standards and claims. |
OSPI Statistics and Geometry Instructional Task D Exemplar
OSPI Statistics and Geometry Instructional Task D
Statistics and Geometry; Standards G-SRT.6, Claim 3B; G-SRT.8, Claim 1
Measuring Angles
From a point 120 m away from a building, Serena measures the angle between the ground and the top of a building and finds it measures 41˚.
Serena wants to determine the height, y, of the building. She claims she can use the cosine of the 41˚ angle to determine z and then use the sine of the 41˚ angle to determine y.
- Justify or refute her claim. Show your reasoning using numbers and words.
- Find the height of the building using another method. Show your work. Round to nearest meter.
In this case, Then she can use the z and find
So Serena could use this method to find y. meters |