Answer:
Step-by-step explanation:
Remark
The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.
The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.
Solution
Sin(8) = 1817 / x Multiply both sides by x
x*sin(8) = 1817 Divide by sin(8)
x = 1817/sin(8)
sin(8) = 0.1392
x = 1817/0.1392
x = 13055.7
Note
Watch how you do this. I would put it into your calculator as
1817
÷
sin(8)
=
If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).
Answer: $60.00
Step-by-step explanation: First the solution: (Start form the end!!) $40.00 (the ending total) minus the $10.00 he added on, $40-$10=$30 which is half of the original total so now you have to multiply by two to get the starting balance ($60.00)!
Now for the inequality, since we don't know the beginning balance of the gift card that will be our variable.
g
Then, since he spent half of this buying coffee we would have to split our variable in half.
g/2
After that, Peter added an additional $10.00 to said gift card.
g/2 + 10 = 40
Going off of that the final inequality would be $60.00 = g/2 + 10 = 40
BAMM!! GOOD LUCK IN MATH CLASS!!!
X=1/12 .........................................
