Unit 4, Lesson 7
Applying Ratios in Right Triangles
Geometry
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Technology required. Find the unknown measurements of the right triangle.
According to the figure, which equation is true?
\(\sin(32) = \frac{8.5}{x}\)
\(\sin(32) = \frac{x}{8.5}\)
\(\cos(32) = \frac{8.5}{x}\)
\(\cos(32) = \frac{x}{8.5}\)
Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes a 45-degree angle with the ground. How high is the kite?
12 ft
\(\frac{12}{\sqrt2}\) ft
\(12 \sqrt2\) ft
24 ft
In the right triangles shown, the measure of angle \(ABC\) is the same as the measure of angle \(EBD\). What is the length of side \(BE\)?