Answer:
x=139
Step-by-step explanation:
angles on a straight line add up to 180 degrees
Given that
and
, if
is an arithmetic sequence, then the common difference between successive terms is
.
You then have
So the explicit formula for the
th term is
Answer:
the measurement is 30 degrees
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>
The new size of cube's side is 6. V new cube = 6*6*6 = 216
