Directions: Read each problem carefully then find what is asked on each number. (If answers are not exact, round off to the nearest hundredth place)
1. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an angle of 68° with the ground, how far is the base of the ladder from the wall?
2. An airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitude of 500 m, its horizontal distance from the airport was found to be 235 m. What was the angle when the airplane rose from the ground?
[tex]\blue{NONSENSE/INCOMPLETE=REPORT}[/tex]
1. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an angle of 68° with the ground, how far is the base of the ladder from the wall?
2. An airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitude of 500 m, its horizontal distance from the airport was found to be 235 m. What was the angle when the airplane rose from the ground?
[tex]\blue{NONSENSE/INCOMPLETE=REPORT}[/tex]
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Answer:
1) 3.52m
2) 64.82°
Step-by-step explanation:
1) Solution:
cos 68 = adjacent / 8
8cos68 = adjacent
3.52cm
2) Solution:
tan A = 500/235
A = arctan (500/235)
A = 64.82°