You have to find the angle of sunlight and the pole , which then cast a shadow
length of the pole is equal to 3.1m
creating a hypotenuse of 4.52m
the angle will be
[email protected] = opposite side / hypotenuse
= 1.46/4.52
= 0.32 that's 18.66 °
now for the building sin18.66° = opposite/hypotenuse
0.32 = 36.75/ hypotenuse
hypotenuse = 114.84 m
thus using Pythagoras theorem
114.84*114.84 = 36.75*36.75 + x^2
which comes around = 108.8 roughly 109 metres long
Answer:
(-5/2,-4)
Step-by-step explanation:
3(x-7) = 138 + 3x First multiply
3x-21 = 138 + 3x subtract 3x from both sides
-21 = 138
This is a false statement because -21 does not equal to 138 so the answer is no solution.
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Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
<u />
<u>Trapezium:</u>
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m
<u>Triangle:</u>
height = 4 m & base = 8 m
Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
(x+3)(x+3) = x^2 -3 + 3x
x^2 + 3x + 3x + 9 = x^2 + 3x - 3
x^2 + 6x + 9 = x^2 + 3x - 3
6x + 9 = 3x - 3
3x + 9 = -3
3x = -12
x = -4
Check:
(-4+3)^2 = (-4)^2 - 3(1+4)
(-1)^2 = 16 - 3(5)
1 = 16-15
1 = 1 :)
