<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
Answer:
y = 3 * 2 ^ x
Step-by-step explanation:
Opposite sides being parallel proves that hte figure is a parallelogram. The sides only appear to be equal so his conclusion is not valid. He would need to show that 2 adjacent sides of the parallelogram are equal ( using the distance formula) to prove that it is a rhombus.
So.... there are a total of 57 toys, which the new and favorites ones are not going to be sold.
The equation would ultimately go into 57 - (15+9+2), which would equal to 31. Ultimately, he sells 31 toys and have 26 left over.
in short, subtracting 57 with the sum of 15+9+2 would equal to 31 toys which means that he sells the 31 toys.
