A plane hillside is inclined at an angle of 28° with the horizontal. A man wearing skis can climb this hillside by following a straight path inclined at an angle of 12° to the horizontal, but one without skis must follow a path inclined at an angle of only 5° with the horizontal. Find the angle between the directions of the two paths. a. .15.56° b. 13.21° с. 18.74° d. 17.22°

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A plane hillside is inclined at an angle of 28° with the horizontal. A
man wearing skis can climb this hillside by following a straight
path inclined at an angle of 12° to the horizontal, but one without
skis must follow a path inclined at an angle of only 5° with the
horizontal. Find the angle between the directions of the two paths.
a. .15.56°
b. 13.21°
с. 18.74°
d. 17.22°
Transcribed Image Text:A plane hillside is inclined at an angle of 28° with the horizontal. A man wearing skis can climb this hillside by following a straight path inclined at an angle of 12° to the horizontal, but one without skis must follow a path inclined at an angle of only 5° with the horizontal. Find the angle between the directions of the two paths. a. .15.56° b. 13.21° с. 18.74° d. 17.22°
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