Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.
Answers
Angle A = 68 degrees
Angle B = 22 degrees
Side AB = 2.9 cm
The three values are approximate
=========================================================
Explanation:
a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
2.7^2 + 1.1^2 = c^2
8.5 = c^2
c^2 = 8.5
c = sqrt(8.5)
c = 2.91547594742266
c = 2.9
The hypotenuse is c = AB = 2.9
--------------------
We then use trig ratios to find the two missing angles.
Let's say we ignore the hypotenuse and focus on the two legs of the triangle.
With respect to reference angle A, side BC is opposite and AC is adjacent
Use the tangent ratio to get
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 2.7/1.1
tan(A) = 2.45454545454546
A = arctan(2.45454545454546)
A = 67.8336541779176
A = 68
Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.
-------------------
Similarly,
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 1.1/2.7
tan(B) = 0.4074074074074
B = arctan(0.4074074074074)
B = 22.166345822082
B = 22
Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.
-------------------
In summary we found
A = 68
B = 22
AB = 2.9
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Step-by-step explanation:
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Step-by-step explanation:
Andrea, Beth, & Cathy's ages are consecutive whole numbers. Andrea is the youngest, and Cathy is the oldest. The sum of their ages is 54. How old is Cathy?
Answers
Answer:
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Step-by-step explanation:
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Sum of their ages = 54
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Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1, when r = negative 1 and s = negative 2.
Selena’s Work
Drake’s Work
(StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1 Baseline = (r Superscript negative 1 Baseline s) Superscript negative 1 Baseline = StartFraction r Over s EndFraction = StartFraction negative 1 Over negative 2 EndFraction = one-half
(StartFraction (negative 1) (negative 2) Superscript negative 2 Baseline Over (negative 1) squared (negative 2) Superscript negative 3 EndFraction) Superscript negative 1 = (StartFraction (negative 1) (negative 2) cubed Over (negative 1) squared (negative 2) squared EndFraction) Superscript negative 1 = (StartFraction negative 8 Over 4 Endfraction) Superscript negative 1 Baseline = StartFraction 4 Over negative 8 EndFraction = negative one-half
Who is correct and why?
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
Drake is correct because he substituted the values for the variables first, and simplified correctly
Answers
Answer:
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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From the question it can be seen that all the angles lie on a straight line and
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Step-by-step explanation:
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Answer:
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Answers
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Answers
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Answers
Given :
A building is of unknown height. At a distance of 400 feet away from the building .
An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .
To Find :
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Answers
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Answers
Answer:
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Step-by-step explanation:
First way:
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Second Way:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Hey there!
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Step-by-step explanation:
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Answers
Answer:
Hello!
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Step-by-step explanation:
To get it to the start position is the same as TURNING IT 360 DEGREES!
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HOPE THIS HELPS!!