Answer:
b= x
Step-by-step explanation:
Applying the law of indices above:
∴b= x
9514 1404 393
Answer:
267.9 m
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.
tan(15°) = height/(1000 m)
height = (1000 m)tan(15°)
height ≈ 267.9 m
The cliff is about 267.9 meters tall.
The equation 
is
Some observations:
is defined only as long as 
, or 
- wherever is defined, its value must be non-negative, so that
is never positive - by the definition of absolute value, we have
if 
, and 
if 
. Then
If , the equation becomes
Taking the square of both sides gives
but since the discriminant is 
, there are no real solutions.
If , then
Taking squares gives
and solving by the quadratic formula gives two potential solutions,
which have approximate values of 8.49 and 26.51.
We know for any value of 
that 
. We have 
and 
, so only the first solution 8.49 is valid.
Answer:
The answer to this problem would be 900$.
WHY?:
I already did this question myself!!
Answer:
100 feet
Step-by-step explanation:
The general formula for the circumference of a circle is:
C = 2π(r) where 'r' is the radius, or distance from the outside of the circle to the center. Given the circumference of the pon as 628 feet, we can solve for the radius, or distance the boat traveled to the center of the pond:
628 = 2π(r)
Divide by 2: 628/2 = 2πr/2 or 314 = πr
Divide by π (3.14) = 314/3.14 = πr/3.14
solve for r: r = 100 ft
