This CBSE class 10 Maths extra question is from the topic Trigonometry. It tests the concept of computing angles from values of trigonometric ratios computed from the measures of the sides of a right triangle.

Question 8: In a triangle ABC right angled at B, AB = 5 cm and AC = 10 cm. Determine ∠ BAC and ∠ BCA.

online.maxtute.com

Δ ABC is right angled at B

AB = 5 cm and AC = 10 cm

AB is the opposite side and AC is the hypotenuse to the triangle.

∴ We will use sin ∠BCA = \\frac{\text{AB}}{\text{AC}})= \\frac{\text{5}} {\text{10}})=\\frac{\text{1}}{\text{2}})

We know sin 30° = \\frac{1}{2})

∴ sin ∠BCA = sin 30° or ∠ BCA = 30°

So, ** ∠BCA = 30°**

In any triangle, sum of the interior angles is 180°

i.e., ∠ABC + ∠BCA + ∠BAC = 180°

90° + 30° + ∠BAC = 180°

∠BAC = 60°

So, ** ∠BAC = 60° **

Class 10 Maths

Register in 2 easy steps and

Start learning in 5 minutes!

CBSE Class 10 Maths - 2021

- Real Numbers Revision Class
- Polynomials Revision Videos
- Linear Equations Revision Class
- Quadratic Equations Revision Class
- Arithmetic Progressions Revision Video
- Triangles Revision
- Coordinate Geometry Revision
- Trigonometry Revision Class
- Appl of Trigonometry
- Circles Revision Class
- Areas Related to Circles Revision Videos

1. Trigonometric Ratios | CBSE Class 10 Extra Practice Question #01 | Easy Question ** Questions 1 ** ▶

2. Trigonometric Ratios | CBSE Class 10 Math Additional Practice Question #02 | Easy Question ** Question 2** ▶

3. Trigonometric values | CBSE Class 10 Math Extra Question #03 | Medium Question ** Question 3** ▶

4. Trigonometry theory & practice | CBSE 10th Extra Practice Question #04 | Medium Question ** Question 4** ▶

5. Trigonometric Ratios | CBSE 10th Extra Practice Question #05 | Easy Question ** Question 5** ▶

6. Trigonometry & Quadratic Equation | CBSE 10th Extra Practice Question #06 | Medium Question ** Question 6** ▶

7. Trigonometric values| CBSE 10th Extra Practice Question #07 | Easy Question ** Question 7** ▶

8. Trigonometric Ratios | CBSE 10th Extra Practice Question #08 | Easy Question ** Question 8** ▶

9. Trigonometric values | CBSE 10th Extra Practice Question #09 | Easy Question ** Question 9** ▶

10. Trigonometric values | CBSE 10th Extra Practice Question #10 | Easy Question ** Question 10** ▶

11. Square of Trigonometric Ratios | CBSE Class 10 Extra Question #11 | Easy Question ** Question 11** ▶

12. Trigonometric values | CBSE 10th Extra Practice Question #12 | Easy questions ** Question 12** ▶

13. Trigonometric Values of Basic Angles | CBSE 10th Extra Question #13 | Easy question ** Question 13** ▶

14. Trigonometric Ratios of Specific Values | CBSE Class 10 Important Question #14 | Hard Question ** Question 14** ▶

15. Trigonometric Ratio & Linear Equations | CBSE Class 10 Important Question #15 | Hard Question ** Question 15** ▶

Copyrights © 2016 - 21 All Rights Reserved by Maxtute.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

**Phone:** (91) 44 4500 8484

**Mobile:** (91) 93822 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@maxtute.com