The distance across the lake, a is 611 yards
<h3>Right angle triangle:</h3>
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
learn more on right triangle here: brainly.com/question/18450490
Answer:
![\sqrt[5]{13^3} = 13^{\frac{3}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B13%5E3%7D%20%3D%2013%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D)
Step-by-step explanation:
Slope = (-3 - (-15))/(-9 - (-5)) = - 12/4 = -3
