Answer:
Explanation:
Identity: sec2θ=1+tan2θ
sec2(π2−x)−1=1+tan2(π2−x)−1
=tan2(π2−x)
Identity: tan(π2−θ)=cotθ
=cot2x
Well the square root of 49 is 7 so anything with an absolute value over 7 would work and if it is greater than or equal to, than 7 and -7 also work :)
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
Taylor will charge more by $15
Step-by-step explanation:
Given
Taylor
First Hour = $15
Hourly Rate = $10
Lucy:

For a dog walk of 2.5 hours.
Taylor's charges is:




Lucy's charges is:
Here, we consider
Because 
i.e 2.5 > 2
So, Lucy's charges is:


By comparison;
Taylor will charge more by $15
The difference is calculated by:

