basketball star mumford (a six foot senior forward) places a mirror on the ground x ft. from the base of a basketball goal. he walks backward four feet until he can see the top of the goal, which he knows is 10 feet tall. determine the how far the mirror is from the basketball goal. justify your answer.

Step-by-step explanation:

The image attached shows the context that the problems refered.

Notice that two acute angles from those triangles are congruent, just because their complement are also congruent.

Remember that the tangent function is defined as

Replacing each equiavlence, we have

Then, we solve for

Thereofre, the answer is 6.67 feet, approximately.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.