Answer:
24.7 feet
Step-by-step explanation:
Maria who is 6 feet tall stands 20 feet away from the base of a tree she looks up at the top of the tree at a 43° angle of elevation.
what is the approximate height of the tree rounded to the nearest 10th?
We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle of elevation
Adjacent = Distance from the base of the tree = 20 feet
Opposite => Height of the tree = x
θ = 43°
tan 43 = x/ 20 feet
x = tan 43 × 20 feet
x = 18.650301723 feet
Approximately = 18.7 feet
We are told in the question that Maria is 6 feet tall
Therefore, the height of the tree = Maria's height + Height
= 6 feet + 18.7 feet
= 24.7 feet
Answer:
<h2><u>STEPS</u></h2>
-
Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>
<u>
Find the square root of 324</u>
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18
Answer:
y=2x+7
Step-by-step explanation:
Equation of line: y = mx + b
where m is the slope, and b is the y-intercept
It’s 28 dollars because it is a total amount
