Solve a right triangle, and trigonometry word problems

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Tala stands 25 m from a tower. The angle of elevation to its top is 54°. How tall is the tower, to the nearest tenth?

   34.4
2. 2.

   Zee stands 60 ft from the school. The angle of elevation to the roof edge is 23°. How tall is the school, to the nearest tenth?

   25.5
3. 3.

   Ari stands 30 ft from a house. The angle of elevation to the roof peak is 41°. How high is the peak, to the nearest tenth?

   26.1
4. 4.

   Bo leans a 20 ft ladder on a wall at 76° to the ground. How high up the wall does the ladder reach, to the nearest tenth?

   19.4
5. 5.

   Esme's 24 ft wheelchair ramp makes 14° with the ground. How far along the ground does it run, to the nearest tenth?

   23.3
6. 6.

   Kira sets an 18 ft ladder at 70° to the ground. How far is the foot of the ladder from the wall, to the nearest tenth?

   6.2
7. 7.

   Luz's 25 ft ramp rises 4 ft. What angle does the ramp make with the ground, to the nearest tenth of a degree?

   9.2
8. 8.

   Milo's kite flies 52 m high on 75 m of string. What angle does the string make with the ground, to the nearest tenth of a degree?

   43.9
9. 9.

   Noah stands 82 m from a 45 m tower. What is the angle of elevation to the top, to the nearest tenth of a degree?

   28.8
10. 10.

    Pia's 23 ft ladder has its foot 6 ft from the wall. What angle does the ladder make with the ground, to the nearest tenth of a degree?

    74.9