Answer:
1. A = 59
2. A = 43
Step-by-step explanation:
If we have a right triangle we can use sin, cos and tan.
sin = opp/ hypotenuse
cos= adjacent/ hypotenuse
tan = opposite/ adjacent
For the first problem, we know the opposite and adjacent sides to angle A
tan A = opposite/ adjacent
tan A = 8.8 / 5.2
Take the inverse of each side
tan ^-1 tan A = tan ^-1 (8.8/5.2)
A = 59.42077313
To the nearest degree
A = 59 degrees
For the second problem, we know the adjacent side and the hypotenuse to angle A
cos A = adjacent/hypotenuse
cos A = 15.3/21
Take the inverse of each side
cos ^-1 cos A = cos ^-1 (15.3/21)
A = 43.23323481
To the nearest degree
A = 43 degrees
Answer:
y = 3x - 14
Step-by-step explanation:
If a line is parallel to another, it will have the same slope
So, the line's slope will be 3
Plug in the given point and the slope into y = mx + b, and solve for b
y = mx + b
-2 = 3(4) + b
-2 = 12 + b
-14 = b
Plug in the slope and b into y = mx + b
y = 3x - 14
So, the equation is y = 3x - 14
<u>Answer</u>:
Given below.
<u>Step-by-step explanation</u>:
1) Hypotenuse
2) Using Pythagoras theorem:
35² + 12² = c²
c = √1225+144
c = √1369
c = 37 ....this is the length of missing side.
Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.
3) sin(θ) = opposite/hypotenuse
sin(θ) = 35/37
4) cos(θ) = adjacent/ hypotenuse
cos(θ) = 12/37
5) tan(θ) = opposite/adjacent
tan(θ) = 35/12
