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.
Answer:
C, the three lengths of a triangular sail are 12 feet, 16 feet and 20 feet
Step-by-step explanation:
Just did the test
Answer:
A) false, b)true, c) true, d)false
Step-by-step explanation:
9514 1404 393
Answer:
zero, false
Step-by-step explanation:
The equation has <em><u>zero</u></em> solutions because the equation 2=3 is <em><u>false</u></em>.
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There are no values of the variables that will make that equation true, hence no solutions.
Answer:
f'(1) = 2
Step-by-step explanation:
f(x) = 2x^2 -2x +3
Take the derivative
f'(x) = 2 * 2x - 2 * 1
f'(x) = 4x -2
f'(1) = 4(1) -2
=4-2
=2