Ineed the fastest answer ! emir is standing in a treehouse and looking down at a swingset in the yard next door. the angle of depression from emir's eyeline to the swingset is 33.69°, and emir is 10 feet from the ground. how many feet is the treehouse from the swingset? round your answer to the nearest foot. a. 15 feet b. 18 feet c. 20 feet d. 24 feet

a. 15 ft

step-by-step explanation:

this is a right triangle trig problem, but the tricky part is dealing with the angle of depression.   emir is standing in a tree house 10 feet off the ground.   his line of vision is parallel to the ground.   therefore, the hypotenuse of the right triangle created serves as the transversal that cuts a pair of parallel line, making the angle of depression and the base angle congruent.   the base angle (the angle inside the triangle that is not the right angle) is 33.69 degrees.   we have the height of the triangle as 10 feet (the side opposite the reference angle), we have the reference angle itself (33.69) and we are looking for the measure of the base of the triangle (the side adjacent to the reference angle).   these come together in the tangent ratio:

filling in our info:

solving for x:

do this on your calculator in degree mode to get that

x = 15 feet

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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step-by-step explanation: