Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
For a cartesian equation

Given r = <span>10 tan(θ) sec(θ)

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
Answer:
10.21
Step-by-step explanation:
Answer:
Here we will use the relationships:



And a number:

is between 0 and 1 if a is positive and larger than 1, and n is negative.
if a is positive and 0 < a < 1, then we need to have n positive such that:
0 < a^n < 1
A) 
This is between zero and 1,
B) 
This is greater than 1, because the exponent is positive.
C) 
Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.
D) 
The exponent is negative (and pair) then the expression is between 0 and 1.
Remember that when the exponent is pair, we always have that:
(-N)^m = (N)^m
So (-7)^-2 = 7^-2