Two lighthouses are located 25 miles from one another on a north-south line. If a person on a buoy is spotted 10° south of east from the northernmost lighthouse and 25° north of east from the southernmost lighthouse, how much closer is the closest lighthouse to the person on the buoy?

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

The distance between two cities is 368 miles. if the scale on the map is 1/4 inch=23 miles, what is the distance between the cities on the map?