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Due to construction, traffic is getting detoured from Main Street by turning slightly right onto Oak Avenue and continuing straight for 4 mi. To get back onto Main Street, you need to make a 90 degree left turn onto Lilac Lane and continue straight for x miles. Lilac Lane intersects Main Street at 30 degrees for the end of the detour. Approximately how many miles should you travel on Lilac Lane to reach Main Street? Answe

Answer :

carlosego
For this case you should see the problem as a rectangle triangle whose sides are 4 miles (base) and x miles (height).
 the angle between the hypotenuse and the base is 30 degrees.
 then to find the height:
 tan (30) = x / 4
 x = 4 * tan (30) = 2.31
 answer
 you should travel 2.31 miles on Lilac Lane to reach Main Street

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