#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =

(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =

(multiply both sides by

)

(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
Answer:

Step-by-step explanation:
we know that
The equation of the line in standard form is in the form

where
A is a positive integer, and B, and C are integers
In this problem we have
----> equation of the line in slope intercept form
Convert to standard form
Multiply by 5 both sides


Writing equivalent equations help you solve system of equations because it sets it up for being broken down part by part.
Answer:
B. 30 ft
Step-by-step explanation:
The ladder is 32 ft long
The angle of elevation of the ladder is 70°
The height (h) of the top of the ladder to the ground is what we are to find.
= sin 70°
h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)