TRIGONOMETRY EDITED Flashcards
The angle of inclination of the sun affects the heating and cooling of buildings. The angle is greater in the summer than the winter. The sun’s angle of inclination
A. The latitude of Brownsville texas is 26. Find the angle of inclination for Brownsville on the first day of summer and winter
summer: 87.5
winter: 40.5
The angle of inclination of the sun affects the heating and cooling of buildings. The angle is greater in the simmer than the winter. The sun’s angle of inclination
B. the latitude of nome alaska s 64, find the angle of inclination for nome on the first day of summer and winter
summer: 49.5
winter: 2.5
The angle of inclination of the sun affects the heating and cooling of buildings. The angle is greater in the simmer than the winter. The sun’s angle of inclination
C. which city has the greater change in the angle of inclination
neither
the ponce de leon lighthouse in st. Augustine, Florida, is the second tallest brick tower in the united states. it was built in 1887
743.2 ft
the escalator of st. petersbur metro in russia has a vertical rise of 195.8 ft. if the angle of elevation of the escalator is
1088.8
The longest truck-mounted ladder used by the Dallas Fire Department is 108 feet long and consists of four hydraulic sections. Gerald Travis, aerial expert for the department, indicates that the optimum operating angle of this ladder is 60°. The fire fighters find they need to reach the roof of an 84-foot burning building. Assume the ladder is mounted 8 feet above the ground.
A. How far from the building should the base of the ladder be placed to achieve the optimum operating angle?
43.9
The longest truck-mounted ladder used by the Dallas Fire Department is 108 feet long and consists of four hydraulic sections. Gerald Travis, aerial expert for the department, indicates that the optimum operating angle of this ladder is 60°. The fire fighters find they need to reach the roof of an 84-foot burning building. Assume the ladder is mounted 8 feet above the ground.
B. How far should the ladder be extended to reach the roof?
87.8 ft
A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measures the angle of depression to the Groveburg soccer fields to be 20° 15 . To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30’ . The distance between the two athletic complexes is 4 miles.
A. Find the distance from the balloon to the soccer fields.
3.6
A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measures the angle of depression to the Groveburg soccer fields to be 20° 15 . To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30’ . The distance between the two athletic complexes is 4 miles.
B. What is the distance from the balloon to the football field?
1.4 mi
In order to avoid a storm, a pilot starts the flight 13° off course. After flying 80 miles in this direction, the pilot turns the plane to head toward the destination. The angle formed by the course of the plane during the first part of the flight and the course during the second part of the flight is 160°.
A. What is the distance of the flight?
227.7
In order to avoid a storm, a pilot starts the flight 13° off course. After flying 80 miles in this direction, the pilot turns the plane to head toward the destination. The angle formed by the course of the plane during the first part of the flight and the course during the second part of the flight is 160°.
B. Find the distance of a direct flight to the destination.
224.5
An engineer designed three gears as shown at the right. What is the
measure of theta?
about 100.6°
The original height of the Leaning Tower of Pisa was 184 1/2 feet. At a distance of 140 feet from the base of the tower, the angle of elevation from the ground to the top of the tower is 59°. How far is the tower leaning from the original vertical position?
about 9.6°
A satellite is orbiting Earth every 2 hours. The satellite is directly over a tracking station which has its antenna aimed 45° above the horizon. The satellite is orbiting 1240 miles above Earth, and the radius of Earth is about 3960 miles. How long ago did the satellite pass through the beam of the antenna?
4.1 min
A fire is sighted from a fire tower in Wayne National Forest in Ohio. The ranger found that the angle of depression to the fire is 22°. If the tower is 75 meters tall, how far is the fire from the base of the tower?
185.6
In baseball, dead center field is the farthest point in the outfield on the straight line through home plate and second base. The distance between consecutive bases is 90 feet. In Wrigley Field in Chicago, dead center field is 400 feet from home plate. How far is dead center field from first base?
342.3 ft
The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10° off course to avoid a storm.
A. After flying in this direction for 100 miles, how far is the plane from Orlando?
122.8
The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10° off course to avoid a storm.
B. If the pilot adjusts his course after 100 miles, how much farther is the flight than a direct route?
2.8
A soccer player is standing 35 feet from one post of the goal and 40 feet from the other post. Another soccer player is standing 30 feet from one post of the same goal and 20 feet from the other post. If the goal is 24 feet wide, which player has a greater angle to make a shot on goal?
ANS: the player 30 ft and 20 ft from the posts
