PLEASE HELP! WILL GIVE BRAINLIEST! Jackson loves an adventure but always wants to know what he is getting himself into before he jumps in completely. He decides to take a rock climbing course. He arrives at the course which is meeting at the base of the mountain. He looks up and decides he needs to know how far UP he will be climbing. The instructor doesn’t know the height of this location (Jackson is starting to doubt the instructor’s ability if he doesn't know this simple fact) Jackson needs to figure out a way to know the approximate height before climbing. Jackson decides to use his highschool geometry skills to determine the height. He needs a mirror and luckily another climber pulls one out of his backpack. Jackson places the mirror on the ground so that he is able to look at the mirror and see the top of the mountain.
The mirror is 5 feet in front of him and is approximately 40 feet from the base of the mountain. ∆ Jackson is 6’4” tall. Approximately how high is the top of the mountain. -

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

answer for #1 is c

answer for #2 is d

can i get brainliest

5+2x=a

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