A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
1 answer:
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
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