Sine, cosine and tangent of an acute angle

Answer Key - Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira draws right triangle QUV for a ramp poster, with the right angle at U. UV = 80 cm and QU = 39 cm. What is cos Q, as a fraction?

   39/89
2. 2.

   Luz draws right triangle QUV for a kite poster, with the right angle at U. UV = 72 cm and QU = 65 cm. What is sin Q, as a fraction?

   72/97
3. 3.

   Milo draws right triangle QUV for a tent poster, with the right angle at U. UV = 60 cm and QU = 91 cm. What is cos Q, as a fraction?

   91/109
4. 4.

   Noah draws a 45-45-90 triangle with legs 3 and 3 and hypotenuse 3√2. What is sin 45°, in simplest form?

   • √2
   • √2/2
   • 1
   • √3/2
5. 5.

   Pia draws a 30-60-90 triangle with sides 4, 4√3 and 8. What is cos 30°, in simplest form?

   • √3
   • √3/2
   • 1/2
   • 2√3/3
6. 6.

   Ren draws a 30-60-90 triangle with sides 5, 5√3 and 10. What is tan 60°, in simplest form?

   • √3
   • √3/2
   • √3/3
   • 2
7. 7.

   Tala draws a 30-60-90 triangle with sides 6, 6√3 and 12. What is sin 60°, in simplest form?

   • 1/2
   • √2/2
   • √3
   • √3/2
8. 8.

   Zee measures a ramp triangle and finds cos D = 15/17, where ∠D is acute. What is tan D, as a fraction?

   8/15
9. 9.

   Ari measures a ladder triangle and finds cos D = 24/25, where ∠D is acute. What is sin D, as a fraction?

   7/25
10. 10.

    Esme measures a tree triangle and finds cos D = 21/29, where ∠D is acute. What is sin D, as a fraction?

    20/29