Answer:
The answer is B
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Answer:
32, 36, 40
Step-by-step explanation:
8x + 9x + 10x = 108
27x = 108
x = 4
4 × 8 = 32 - 1st side
4 × 9 = 36 - 2nd side
4 × 10 = 40 - 3rd side
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>
