Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
Answer:
Step-by-step explanation:
A scale factor of 1:3 means that one triangle is 3 times bigger than the other, for example. So, if the small triangle has a perimeter of 27, the big triangle has a perimeter 3 times as big.
A mutual fund is essentially a company that invests in a lot of stocks and/or bonds. They are more diversified compared to a single corporation. If a company does poorly, then the mutual fund might divest from the company and focus their attention elsewhere. Similarly, if an industry is underperforming, then the mutual fund would turn somewhere else.
<span>46.8342 is 63% of 74.34</span>
X²＋7x－30
＝x²＋10x－3x－30
＝x(x＋10)－3(x＋10)
＝(x＋10)(x－3)
Hope my answer helped u :)
