Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
Ok, there are two scenarios here.
1) It's a typo and "<K" should be written as "<J"
if that is the case, we can convert from degrees,minutes,seconds >> degrees like so

once calculated, we get 48.43 degrees.
scenario 2)
<k is the third angle in a right triangle
this would mean that <j + <K + 90 = 180
from the first example, we know that <J = 48.43 degrees
Therefor
48.43 + <k + 90 = 180
48.43 + 90 = 138.43
so
138.43 + <k = 180
Therefor, <K = 41.57 degrees
I really hope this helps!!:)
Answer: 57%
Step-by-step explanation:
Davis's monthly expenditure and his monthly salary was 3 : 7.
This means that for every $7 he received, he spent $3 out of it.
The amount he saved is therefore:
= 7 - 3
= $4
For every $7 received, he saved $4.
Percent = 4/7
= 57%
Answer:
36 ounces
Step-by-step explanation:
9 x 4 = 36