1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mademuasel [1]
3 years ago
7

Consider the given right triangle. If angle B = 43 degrees and c = 26.7 meters, find a.

Mathematics
2 answers:
AVprozaik [17]3 years ago
5 0

Answer:

a ≈ 19.53 m

Step-by-step explanation:

The triangle is a right angle triangle . This means one angle is 90°. The picture below demonstrate a right angle triangle. If the angle B = 43° and side c = 26.7 meters the side a can be gotten below.

a = adjacent side

b = opposite side

c = hypotenuse

To find side a we use SOHCAHTOA principle

cos 43° = adjacent/hypotenuse

cos 43° = a/26.7

a = 26.7 × cos 43°

a = 26.7 ×  0.73135370161

a = 19.5271438332

a ≈ 19.53

Nady [450]3 years ago
3 0

Answer: Side a equals 19.5 metres

Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.

A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).

Cos B = Adjacent/Hypotenuse

Cos 43 = a/26.7

Cos 43 x 26.7 = a

0.7314 x 26.7 = a

19.52714 = a

a ≈ 19.5  (rounded to the nearest tenth)

Therefore the length of side a equals 19.5 metres.

You might be interested in
A number is the 1/5 of another number. The sum of both is equal to 78. Which is the highest number out of both numbers?
Reika [66]
D.

1/5 of 65 is

65 × 1 / 5
65 / 5
= 13

65 and 13 add up to 78.

65 is the highest number out of both numbers.


♧
4 0
3 years ago
What do you times to get the perimeter of a rectangle
Irina-Kira [14]
You add all the sides together for perimeter
6 0
3 years ago
Read 2 more answers
Can someone please explain this to me I’m so confused and I have a quiz on this tomorrow
Ludmilka [50]
                               x^2 = 16/100
We must solve for x by taking the square root of both sides.
But imagine x^2 = 9. x = 3 is a solution because 3^2 = 9. But x = -3 is also a solution because (-3)^2 = 9. So we need to add the plus and minus sign to account for all of our solutions.
                     √x^2 = √(16/100)
We square root both sides to remove the exponent 2 on x. Then
                         x = ±√(16/100)
Then we have to use a Property of Radicals which is √(x/y) = √(x) / √(y).
Then the square root of 16 is 4 and the square root of 100 is 10. 4/10 is 2/5 simplified.
3 0
3 years ago
What is a sane side interior angel
Mariulka [41]
When two parallel lines are intersected by a transversal line, forming the angles that are supplementary
3 0
3 years ago
Read 2 more answers
Pleaseee helppp<br> (5x^2y^3)^2
Tamiku [17]

Answer:

25x⁴y⁶

Step-by-step explanation:

From what I understand your question looks like this

(5x²y³)²

To solve this just mulitply

5x²y³*5x²y³

a^x*a^n=a^{x+n}

25x⁴y⁶

5 0
2 years ago
Other questions:
  • A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several
    13·1 answer
  • PQ= 2x +1 and QR= 5x - 44; find PQ
    13·2 answers
  • Find the value of x in the Parallelogram
    7·1 answer
  • Consider the following function. f(x) = ln(1 + 2x), a = 2, n = 3, 1.8 ≤ x ≤ 2.2 (a) Approximate f by a Taylor polynomial with de
    11·1 answer
  • 2300milliters to liters
    13·1 answer
  • Solve the following:<br> -x + 4(1 + 5x) = 156<br> I need help please ?
    12·1 answer
  • Which equation has the solution x = 6?
    12·1 answer
  • Kay inherits $250,000 which she invests today at a rate of return of 9% compounded annually. How much will Kay's investment be w
    13·1 answer
  • How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green ch
    6·1 answer
  • Solve each equation 12x - 51 = 3(x + 7)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!