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Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.
Answer:
Let x be the percentage score he got in fifth test,
According to the question,
His score in first, second, third and fourth test are 80%, 84%, 76% and 77% respectively,
Thus, the average of his total score in the five test,
=
But, Again according to the question,
The average of the five grades as greater than or equal to 80%
That is,
⇒
⇒
⇒
Thus, the least score he can get in the fifth test is 83.