Answer:
39.6
Step-by-step explanation:
Given in the right angled triangle above are:
Ѳ = 49°,
Adjacent length = 26
Hypotenuse length = x
To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length
Thus,

Multiply both sides by x



Divide both sides by 0.6561 to find x




x = 39.6 (to nearest tenth)
Answer:
Did you ever get the answer?
Step-by-step explanation:
<h3>
Answer: 42.8 feet</h3>
Work Shown:
h = height of the building
h is opposite the reference angle (55)
the adjacent side is 30 feet
tan(angle) = opposite/adjacent
tan(55) = h/30
h = 30*tan(55)
h = 42.84444 which is approximate
h = 42.8 feet
Answer:
7/3
Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.
We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.
Another way to calculate the slope of the line is the use this formula:
(y2-y1)/(x2-x1)
The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:
(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)
When we simply the fraction, we would get 7/3 and that would give us the slope.
I hope this helps!