Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.

A surveyor measures the angle of elevation to the top of a hill to be 15.5°. He then moves 345 ft closer, on level ground, and remeasures the angle of elevation to be 21.4° (see Fig. 5.36). Find the height h of the hill and the distance d.

h " d 21.4C Fig. 5.36 15.5 - ---345 ft.