To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
Part A
49-14 = 35
<span>35/7 = 5 </span>
Part B
5 miles each day
Part C
<span>49+35 = 84 </span>
<span>84+40 = 124, which is a good estimate and it is reasonable</span>
Let's take the first derivative:
Notice that we can write this as:
By taking the derivative of both sides 
times, we get:
This means that each time you take a derivative, a factor of 
will appear. So we conclude that:
Taking 
and 
, we get:
So we finally get:
Answer:
1 error / about 8 minutes and 30 seconds
Step-by-step explanation:
1/8.5 Divide the fraction by 7.
By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.
Exact answer: 1/8.571428 repeated
Rounded answer: 1/8.56
The correct answer is letter B!!
