Answer:
y = 6
y = 0
y = 0
Step-by-step explanation:
When, x = -2
y = 6
When, x = 0
y = 0
When, x = 4
y = 0
Y = height
x = distance from tower
tan(19.9) = y/x
tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)
find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400
replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)
rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y
now solve:
0.362x = 0.400x-20
add 20 to each side:
0.362x +20 = 0.400x
subtract 0.362x from each side:
20 = 0.038x
divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet
now that x is known replace x in the original equation and solve for y:
tan19.9 = y /x
0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5
the height of the tower is 190.5 feet
Its very hard to memorise them but if you practice and keep practicing you might get the hang of them. But heres a little trick alright? For the 11ths tables every except 12 will be 11,22,33 etc.. for instance 5 times 11 equals 55 or 8 times 11 equals 88.
Your answer would be on eof the three
15/8
1.875
1 7/8
Hope this helps...
1) 0.0123456789
2) yes
3) yes
4) 1,073,741,824
5) 1.00000000E + 15
