A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50° angle of elevation. His eyes are 5 feet above the ground. Using cos 50 0.64, what is the height of the tree
to the nearest foot
50
5.

29 feet
36 feet
31 feet
24 feet

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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