Applications Of Trigonometry Answers

Posted : admin On 20.12.2020

Answer

NCERT Exemplar Problems Class 10 Maths Solutions Chapter 8 Introduction To Trigonometry and Its Applications. Exercise 8.1 Multiple Choice Questions (MCQs) Question 1: If cos A =, then the value of tan A is (a) (b) (c) (d) Solution: Question 2: If sin A = then the value of cot A is (a) √3 (b) (c) (d) 1 Solution: Question 3. Access Answers to NCERT Class 10 Maths Chapter 9 – Some Applications of Trigonometry Exercise 9.1 Page No: 203. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Revise NCERT Solutions for CBSE Class 10 Mathematics Chapter 9 Some Applications of Trigonometry to hone your problem-solving skills to ace the board exam. When you practise the textbook solutions, you relearn the methods for applying trigonometry concepts. Solve problems wherein you must calculate the distance between two objects such as ships. Class X Chapter 9 – Some Applications of Trigonometry Maths Page 2 of 20 Website: www.vidhyarjan.com Email: contact@vidhyarjan.com Mobile: 9999 249717 Head Office: 1/3-H-A-2, Street # 6, East Azad Nagar, Delhi-110051 (One Km from ‘Welcome Metro Station) Let AC was the original tree. Due to storm, it was broken into two parts. Trigonometry: Trigonometric Applications. Correct answer: Explanation: Since the triangle in question is a right triangle we can use the Pythagorean Theorem. Try It 6.1 Exponential Functions 1. G ( x ) = 0.875 x g ( x ) = 0.875 x and j ( x ) = 1095.6 − 2 x. Answers will vary. Sample response: For a number of years, the population of forest A will increasingly exceed forest B, but because forest B actually grows at a faster rate, the population will eventually become larger than forest A and will remain that way as long as the population growth.

The resulting bearing of the plane is $173.2^{circ}$

Work Step by Step

Let $a = 650~mph$ Let $b = 25~mph$ Let angle $theta$ be the angle between these two vectors. Then $theta = 175.3^{circ}-86.6^{circ} = 88.7^{circ}$ Let $c$ be the resultant of these two vectors. Note that the magnitude of $c$ is the ground speed. We can use the parallelogram rule to find $c$: $c = sqrt{a^2+b^2+2ab~cos~theta}$ $c = sqrt{(650~mph)^2+(25~mph)^2+(2)(650~mph)(25~mph)~cos~88.7^{circ}}$ $c = sqrt{423862.34~mph^2}$ $c = 651~mph$ The ground speed is 651 mph We can use the law of sines to find the angle A between the vector c and the vector b: $frac{c}{sin~C} = frac{a}{sin~A}$ $sin~A = frac{a~sin~C}{c}$ $A = arcsin(frac{a~sin~C}{c})$ $A = arcsin(frac{(650)~sin~91.3^{circ}}{651})$ $A = arcsin(0.9982)$ $A = 86.6^{circ}$ The resulting bearing of the plane is $86.6^{circ}+86.6^{circ} = 173.2^{circ}$
In these lessons, we will learn how to apply trigonometry to solve different types of word problems.
Related Topics:
Basic Trigonometry Lessons
Trigonometry Problems


Hints on solving word problems or applications of trigonometry:

  • If no diagram is given, draw one yourself.
  • Mark the right angles in the diagram.
  • Show the sizes of the other angles and the lengths of any lines that are known
  • Mark the angles or sides you have to calculate.
  • Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
  • Decide whether you will need Pythagorean theorem, sine, cosine or tangent.
  • Check that your answer is reasonable. For example, the hypotenuse is the longest side in a right triangle.

Example:

A ladder 5 m long, leaning against a vertical wall makes an angle of 65˚ with the ground. Gta 1 mac free download.

a) How high on the wall does the ladder reach?
b) How far is the foot of the ladder from the wall?
c) What angle does the ladder make with the wall?

Solution:

a) The height that the ladder reach is PQ

Star wars the force unleashed 2 endor dlc pc download. PQ = sin 65˚ × 5 = 4.53 m

b) The distance of the foot of the ladder from the wall is RQ.

RQ = cos 65˚ × 5 = 2.11 m

c) The angle that the ladder makes with the wall is angle P

Applications Of Trigonometry Answers

Videos

The following videos shows more examples of solving application of trigonometry word problems.

Example 1: Suppose that a 10 meter ladder is leaning against a building such that the angle of elevation from ground to the building is 62 degrees. Find the distance of the foot of the ladder from the wall. Also, find the distance from the ground to the top of the ladder.

Example 2: Suppose that from atop a 100m vertical cliff a ship is spotted at an angle of depression of 12 degrees. How far is the ship from the base of the cliff? Also, find the distance from the top of the cliff to the ship.
  • Show Step-by-step Solutions

Trigonometry Word Problem

How to Find The Height of a Building using trigonometry? Example:
A hiker is hiking up a 12 degrees slope. If he hikes at a constant rate of 3 mph, how much altitude does he gain in 5 hours of hiking?
  • Show Step-by-step Solutions
Example:
A balloon is hovering 800 ft above a lake. The balloon is observed by the crew of a boat as they look upwards at an angle of 20 degrees. Twenty-five seconds later, the crew has to look at angle of 65 degrees to see the balloon. How fast was the boat traveling?
Trigonometry word problems (part 1)

Applications Of Trigonometry Answer Key

Navigation Problem: The first part of a problem when the captain of a ship goes off track.
  • Show Step-by-step Solutions

Applications Of Trigonometry Class 10 Answers

Trigonometry word problems (part 2)
The second part of the problem of the off-track ship captain.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Applications Of Trigonometry Worksheet Answers



Applications Of Right Triangle Trigonometry Worksheet Answers

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Applications Of Right Triangle Trigonometry Answers