A clock has a dial face 12 inches in radius. The minute hand is 9 inches long while the hour hand is 6 inches long. The plane of rotation of the minute hand is 2'inches above the plane of rotation of the hour hand. Find the distance between the tips of the hands at 5:40 AM. A. 9.17 inches B. 8.23 inches C. 10.65 inches D. 11.25 inches 8.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question
A clock has a dial face 12 inches in radius. The minute
hand is 9 inches long while the hour hand is 6 inches
long. The plane of rotation of the minute hand is 2'inches
above the plane of rotation of the hour hand. Find the
distance between the tips of the hands at 5:40 AM.
A. 9.17 inches
B. 8.23 inches
C. 10.65 inches
D. 11.25 inches
8.
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. 13.21°
B. 18.74°
С. 15.56°
D. 17.22
9.
An airplane flew from Manila (14° 36'N, 121° 05'E) at a
course of S 30° E maintaining a certain altitude and
following a great circle path. If its groundspeed is 350
knots, after how many hours will it cross the equator?
A. 2.87 hours
B. 2.27 hours
C. 3.17 hours
D. 3.97 hours
10.
Find the distance in nautical miles between Manila and
San Francisco. Manila is located at 14 36' N latitude
and 121 05 E longitude. San Francisco is situated at 37°
48 N latitude and 122° 24' W longitude.
A. 7856.2 nautical miles C. 6326.2 nautical miles
B. 5896.2 nautical miles D. 6046.2 nautical miles
11.
A wooden flagpole is imbedded 3 m deep at corner A of
a concrete horizontal slab ABCD, square in form and
measuring 20 ft on a side. A storm broke the flagpole at
a point one meter above the slab and inclined toward
corner C in the direction of the diagonal AC. The
vertical angles observed at the center of the slab and at
corner C to the tip of the flagpole were 65° and 35°,
respectively. What is the total length of the flagpole
above the slab in yards?
А. 5.61
В. 16.83
C. 4.32
D. 12.38
12.
Transcribed Image Text:A clock has a dial face 12 inches in radius. The minute hand is 9 inches long while the hour hand is 6 inches long. The plane of rotation of the minute hand is 2'inches above the plane of rotation of the hour hand. Find the distance between the tips of the hands at 5:40 AM. A. 9.17 inches B. 8.23 inches C. 10.65 inches D. 11.25 inches 8. 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. 13.21° B. 18.74° С. 15.56° D. 17.22 9. An airplane flew from Manila (14° 36'N, 121° 05'E) at a course of S 30° E maintaining a certain altitude and following a great circle path. If its groundspeed is 350 knots, after how many hours will it cross the equator? A. 2.87 hours B. 2.27 hours C. 3.17 hours D. 3.97 hours 10. Find the distance in nautical miles between Manila and San Francisco. Manila is located at 14 36' N latitude and 121 05 E longitude. San Francisco is situated at 37° 48 N latitude and 122° 24' W longitude. A. 7856.2 nautical miles C. 6326.2 nautical miles B. 5896.2 nautical miles D. 6046.2 nautical miles 11. A wooden flagpole is imbedded 3 m deep at corner A of a concrete horizontal slab ABCD, square in form and measuring 20 ft on a side. A storm broke the flagpole at a point one meter above the slab and inclined toward corner C in the direction of the diagonal AC. The vertical angles observed at the center of the slab and at corner C to the tip of the flagpole were 65° and 35°, respectively. What is the total length of the flagpole above the slab in yards? А. 5.61 В. 16.83 C. 4.32 D. 12.38 12.
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