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.

   Ren stands 40 m from a tree and looks up at its top at an angle of elevation of 39°. How tall is the tree, to the nearest tenth?

   32.4
2. 2.

   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
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.

   Jun's kite flies on 65 m of string at 47° to the ground. How high is the kite, to the nearest tenth?

   47.5
7. 7.

   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
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