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Ratio and Proportion 185
Figure 13-13
Illustration for
problems 12
through 16.
11. A house wall is 50 ft high. A ladder used to scale it is 60 ft long. How far from
the base of the wall must the ladder be placed for its top to just reach the top of the
house wall? Solve this in two ways. First, use trigonometry to derive the answer to four
significant figures. Second, use the Pythagorean theorem.
12. In Fig. 13-13, all length units are in centimeters (cm). Assume the lengths and
angle measures to be exact. From the data given, use the Pythagorean theorem to derive
the length of side x to four significant digits.
13. Use trigonometry, not the Pythagorean theorem, to derive the length of side y in
Fig. 13-13 to four significant digits.
14. Use trigonometry to derive the measure, in degrees, of angle q in Fig. 13-13 to the
nearest one-tenth of a degree.
15. Use trigonometry to derive the measure, in degrees, of angle r in Fig. 13-13 to the
nearest one-tenth of a degree.
16. Find the measure of angle r in Fig. 13-13 to the nearest one-tenth of a degree by
using a method that does not involve trigonometry.