12 - (2 x 3)
PEMDAS
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
(2 x 3) = 6
12 - 6 = 6
Your answer is 6.
The correct answer is
the flagpole is <span>
33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is
33 feet high.
Using proportions, it is found that the family will drive 482.8 km on the new route.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately <u>48.28 kilometers in 30 miles</u>, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
More can be learned about proportions at brainly.com/question/24372153
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