Back to Solve right triangles — Problem 5 · Task Set 21

Exercises: Solve Right Triangles in Applied Problems

Grade 9·20 problems·~28 min·Common Core Math - HS Geometry·standard·hsg-srt-c-8

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Fluency Practice

A right triangle has a hypotenuse of 10 and one acute angle of 35°. Which pair of expressions correctly gives the two legs? (Use $\sin(35\degree) \approx 0.574$ and $\cos(35\degree) \approx 0.819$ .)

Opposite leg $= 10 \times \sin(35\degree) \approx 5.74$ ; adjacent leg $= 10 \times \cos(35\degree) \approx 8.19$

Opposite leg $= \dfrac{10}{\sin(35\degree)} \approx 17.4$ ; adjacent leg $= \dfrac{10}{\cos(35\degree)} \approx 12.2$

Opposite leg $= 10 \times \cos(35\degree) \approx 8.19$ ; adjacent leg $= 10 \times \sin(35\degree) \approx 5.74$

Opposite leg $= 10 \times \tan(35\degree) \approx 7.0$ ; adjacent leg $= 10 \times \sin(35\degree) \approx 5.74$