Mathematics, 19.03.2021 19:40 TightKnowsDaWhey

Using what you know about right triangle trigonometry, salt the triangle round the side to the nearest 10th and angle measures to the nearest degree. PLEASE provide an explanation in your response :)

Using what you know about right triangle trigonometry, salt the triangle round the side to the near

Answers: 1

Show answers

Answers

Answer from: avagymnast421

Angle A = 49° Angle B = 41° Side AB = 30.5

Step-by-step explanation:

Let's work out Angle A and Angle B first. We are given AC and CB, therefore AB must be the hypotenuse as it is the longest side.

AC and CB must be the opposite and adjacent sides, therefore we can use tan(x) = Opposite/Adjacent for working out both Angle A and Angle B.

Angle A:

tan(A) = 23/20 For Angle A, CB (23) is the side opposite the angle and AC (20) is the side in between Angle A and the right angle, also the adjacent side.

A = $tan^{-1}(\frac{23}{20})$ We do the inverse of tan here.

A = 48.9909131

A = 49° Rounding to the nearest degree simply means to the nearest whole number.

Angle B:

tan(B) = 20/23 For Angle B, AC (20) is the side opposite the angle and CB (23) is the side in between Angle B and the right angle, also the adjacent side.

B = $tan^{-1}(\frac{20}{23})$

B = 41.0090869

B = 41°

Side AB:

We can just use Pythagoras' Theorem here to work out AB, but I will also use trigonometry to show you how you can use both formulas. When I use trigonometry, I will only be using Angle A as an example.

Pythagoras' Theorem: $a^{2} + b^{2} = c^{2}$

AC = 20 = a

CB = 23 = b

$20^{2} + 23^{2} = c^{2}$

929 = $c^{2}$

c = $\sqrt{929}$

c = 30.47950131

c = 30.5 Rounding to the nearest 10th simply means rounding to 1 decimal place.

Trigonometry: SOHCAHTOA

Angle A = 49°

AC = 20 I will use AC as our adjacent side instead of CB. They will both give us the same answer anyways.

AB will always be the hypotenuse in the given right-angled triangle.

cos(x) = Adjacent/Hypotenuse

cos(49) = 20/AB

ABcos(49) = 20 Here we multiply by AB, our hypotenuse.

AB = 20/cos(49) Now we divide by cos(49)

AB = 30.48506173 As you can see here, this answer is different from the Pythagoras' Theorem one because we rounded our angle values, meaning out angle values aren't exact! Instead, use Pythagoras' Theorem here for more accurate results instead of Trigonometry.

AB = 30.5 They still give us the same answer in the end!

I hope this helps you!! ^-^

Answer from: Quest

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

Answer from: Quest

4.08%

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 17:00

Benito is selecting samples of five values from the table, which row will result in the greatest mean? population data row 1 4 2 2 3 3 row 2 3 3 4 3 2 row 3 2 4 3 4 3 row 4 3 4 4 7 3 row 1 row 2 r

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Consider the set of all four-digit positive integers less than 2000 whose digits have a sum of 24. what is the median of this set of integers?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?

Answers: 3

Answer

You know the right answer?

Using what you know about right triangle trigonometry, salt the triangle round the side to the neare...

Questions