Question

Alg 2 9.1#4 Trig word problems (mixed) Worksheet #3 1) You are traveling along a stretch of highway that has a slight grade with an angle of elevation of 5°. After traveling for 4 miles, what is the vertical change in feet? (1 mi = 5280 ft) 2) You lean a 22-foot ladder against the wall. If the ladder makes an angle of 70° with the ground, how far away from the wall is the base of the ladder? 3) A chair lift on a ski slope has an angle of elevation of 28" and covers a total distance of 4640 feet. What is the vertical height covered by the chair lift?

Answer 1

14 Here, Al = 4 miles = 4x5280 - 21120f7 4 miles AABE is right angle.teiangle Sin 5 min AB AC o os, sin 6 AB 2190 or AB=211208 sin 5' = 1841 ft Therehre, The vertical change in feet is 1891 A. 2 Here, Ae=22H ZAB= 70 DABe is right triangle COSKA 704 AG off, AB = Aex sed eos 70 - Be = 22 x Skenpo - 20.67 El or, Be=AX COSITO = 92x20s 170 = 7.52 from the coull. 34 Here, AC = 46404, 2 AEB E28 AABC is right triangle 28 - AB AB os, AB = 2178.35 ft. Hence, the vertical right covered by the clair lift is 2178.35 8. 70 Ae Hence. The base of the ladder is 7.524 Lear away 4640 28