A sailboat with a sick passenger abroad is following a parabolic path given by the equation y=-x^{2}+4x+5. The boat's captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=x+5. Besides the y-intercept (starting location) where do the paths of the two boats cross (show all the appropriate work and give answer in coordinate pair notation)?

b

Step-by-step explanation:

                                                                        b

4/5

Step-by-step explanation:

What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).

First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.

Remember the formula,

sin a = opposite/hypothenuse.

Substitute the values in,

sin 2A = 4/5