Find the common difference of the arithmetic sequence 13,10,7
1 answer:
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Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' = degree
so angle of elevation at point C = 14 +
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + = 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 =
0.2655 =
BC =
BC = 753.239 feet
Similarly in ΔABD
tan45.17 =
1 =
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
