Answer:
y= -5
Step-by-step explanation:
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
Answer:
D
Step-by-step explanation:
We can first eliminate options A and B because they are both negative slopes and the graph shown is an increasing slope, meaning the answer is positive.
Next, we calculate the slope with the formula (y2 - y1) / (x2 - x1) to get 1/4.
1/4 is the slope.
Answer:
(-38) / (-8)
equals 4.75
a negative divided by a negative is always a positive
Step-by-step explanation:
Answer:
3x + 1 + 5x - 7 + 11x - 4 = 180°
x = 10°
Step-by-step explanation:
Sum of angle in Triangle = 180°
So lets add up the angles with combining like terms.
3x + 1 + 5x - 7 + 11x - 4 = 180°
19x + 1 - 7 - 4 = 180°
19x - 10 = 180°
19x = 190
x = 10°
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