Answer: h = 137.4 metres
Step-by-step explanation:
Given that the length of the shadow of a pole on level ground increase 90m, that is, (x + 90)m will be the total length of the shadow. Also we are given that the angle of elevation of the sum changes from 58-38.
To calculate the height, we will employ trigonometry ratio. SohCahToa which are: tan 58 and tan 38.
Please find the attached files for the solution
Circumference of a circle = pi * diameter, or 2(pi) * radius.
The first circle with circumference of 12pi means that the diameter is equal to 12. Since radius is just half of diameter 12/2=6. Same goes for the second circle. Half of 32 is 16. The ratio is then equal to 6:16 or 3:8
The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.
g(x) is the same as saying y, so…
y=3(x+2)2
Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.
Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.
F(x) = -9x +2
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