Angles of Elevation & Depression - Worksheet 10 - 10th Grade

Hard

Solve problems with angles of elevation and depression (Hard)

18 problems · 20-25 minutes · Skills: trigonometry, applications, problem solving

About This Worksheet

This hard-level worksheet contains 18 problems designed for 10th Grade students practicing angles of elevation & depression. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Angles of elevation and depression are the most direct application of trigonometry to the real world — used by surveyors to map terrain, architects to calculate roof pitch, pilots to determine glide slope, and astronomers to measure stellar distances. These problems develop the ability to create a mathematical model from a verbal description.

  • Draw and label diagrams for angles of elevation and depression problems
  • Identify the appropriate trig ratio to solve for an unknown height or distance
  • Solve multi-step real-world problems involving angles of elevation and depression
  • Determine heights of buildings or cliffs using two observation points
  • Calculate the angle of a ramp or staircase from horizontal distance and height

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
4 + 9 =
2
11 + 8 =
3
13 + 14 =
4
7 + 5 =
5
1 + 2 =
6
4 + 8 =
7
20 + 18 =
8
13 + 5 =
9
20 + 3 =
10
16 + 17 =
11
4 + 5 =
12
11 + 8 =
13
5 + 19 =
14
7 + 8 =
15
8 + 20 =
16
10 + 17 =
17
18 + 18 =
18
7 + 15 =

Answer Key

1. 132. 193. 274. 125. 36. 127. 388. 189. 2310. 3311. 912. 1913. 2414. 1515. 2816. 2717. 3618. 22

Frequently Asked Questions

How do I download this angles of elevation & depression - worksheet 10 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this right triangle trigonometry worksheet cover?

This worksheet focuses on trigonometry, applications, problem solving. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.