Im Kendall Hunt (2024)

FAQs

What is a reasonable answer in math? ›

In math, reasonableness can be defined as checking or verifying whether the result of the solution or the calculation of the problem is correct or not. We can do it by either estimating or plugging in your result to check it.

The angle measurement in a right triangle with a base of 6 units and a height of 1 unit is found using the inverse tangent function (arctan) and is approximately 9.46 degrees.

Plug the solution back into the equation.

This is the simplest way to check that your answer is correct. If you solved for a variable or multiple variables, plug these solutions back into the equation and work backwards to see if they make the equation true. If they do, then the solutions are correct.

Well, one of the best things to do is to round the numbers in the question so you can do a quick mental calculation. If the given answer is close to your estimate, then it is a reasonable calculation. You can also put the answer into context, ask yourself does it make sense that the answer is this big, or this small?

Angle of Elevation Examples

Solution: Given that PR=8 units, and ∠QPR=45°. To find the height of the building (QR), we can use the angle of elevation formula tan θ=QR/PR. Answer: Therefore, the height of the building is 8 units.

Let the first angle be x degrees. Then its supplement is 180 - x. So we are given that x = 4 (180 - x) - 5. Thus x = 4(180) - 4x - 5 = 720 - 4x - 5 = 715 - 4x, so 5x = 715, and x = 143, and its supplement is 180 - 143 = 37.

The phrase "reasonable answer" is correct and commonly used in written English. You can use it to refer to an answer that makes sense and is consistent with the current situation.

a. : being in accordance with reason. a reasonable theory. b. : not extreme or excessive.

A determination that a price is fair and reasonable is really a conclusion that the proposed price is fair to both parties, considering the quality, delivery and other factors. The basis for reaching the conclusion is found in the facts and information considered and analyzed by the buyer.