Unit 3, Lesson 5
Working with Ratios in Right Triangles
Integrated Math 2
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Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 18 feet long and makes a 30-degree angle with the ground. How high is the kite?
Triangle \(ABC\) has a right angle at \(C\). Select all measurements which would mean that the triangle has a hypotenuse with a length of 10 units.
Angle \(A\) is 20 degrees, and \(BC\) is 2 units.
\(AC\) is 7 units, and \(BC\) is 3 units.
Angle \(B\) is 50 degrees, and \(BC\) is 4 units.
Angle \(A\) is 30 degrees, and \(BC\) is 5 units.
\(AC\) is 8 units, and \(BC\) is 6 units.
Estimate the values to complete the table.
| angle | adjacent leg \(\div\) hypotenuse | opposite leg \(\div\) hypotenuse | opposite leg \(\div\) adjacent leg |
|---|---|---|---|
| \(A\) | 0.31 | 0.95 | 3.1 |
| \(C\) |
What is the length of side \(AB\)?
Find the lengths of segments \(AD\) and \(BD\). Then check your answers using a different method.