A parking lot is rectangular in shape. On a scale drawing, the length of the parking lot is foot long and the width is į foot lo
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Answer:
- 2.54 km
Step-by-step explanation:
<em>See the attached</em>
All given details are reflected in the diagram (not to scale)
- PA is at 225°, PB is at 116°, BA is at 258°
- AB = 3.9 km
- AP = x
- m∠P = 225° - 116° = 109°
- m∠A = 258° - 225° = 33°
- m∠B = 180° - (109° + 33°) = 38°
<u>Use the law of sines:</u>
- x/ sin 38° = 3.9 / sin 109°
- x = 3.9 sin 38° / sin 109°
- x = 2.54 km (rounded)
Angle of depression=14°
height of tower=h=140 ft
tan(14°)=x/140
x=34.906 ft (distance from tent to the base of tower)
height of tower=h=140 ft
tan(14°)=x/140
x=34.906 ft (distance from tent to the base of tower)