Answer:
- A. 5 to the power of negative 5 over 6
Step-by-step explanation:
Answer:

Step-by-step explanation:
The formula of the circumference of a circle is
.
The length of an arch can be found by using the ratio of circumference to the arc.
First, find the circumference of the circle:

Then you find the ratio:
The length of the arc is 90/360, which is 1/4, of the circumference.
Finally, find the length of the arc:
or 
I hope this helps :)
Answer:
x=23
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle
so
137-x=2x+3x-1
now we can solve for x
step 1 combine like terms
2x+3x=5x
now we have
137-x=5x-1
step 2 add 1 to each side
-1+1 cancels out
137+1=138
138-x=5x
step 2 add x to each side
-x+x cancels out
5x+x=6x
now we have
138=6x
step 3 divide each side by 6
6x/6=x
138/6=23
we´re left with x=23
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>