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:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
Direct proportionality
2 inches/ 10 miles = 5 inches / x miles
cross multiply
2x = 50
divide both sides by 2
x = 25
The actual distance between the library and the bank is 25 miles
Hope this helps :)
53/100 ÷ 5 can be reduced down to
7
-----
20
Good Luck! :)