Stephens school is four blocks west and seven blocks south of his home. use two methods to determine the number of routes he could take to school, travelling west or south at all times

 There are 2 routes to reach the school.

Explanation:

As there are two routes he could take to school, travelling west or south at all times

Case I:

First he goes westwards four blocks and then seven blocks southwards to reach the school.

Case II:

Secondly, he goes seven blocks southwards and then four blocks westwards to reach the school.

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step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet