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:
JRQ = 56
Step-by-step explanation:
SRQ - SRJ = JRQ
166 - 110 = 56
Answer: 2nd option
Step-by-step explanation:
Answer:
Correct option: c)
radius = 6 inches
Step-by-step explanation:
The complete arc of a circumference has 360 degrees, and the length is 2*pi*radius
Knowing this, we can use a rule of three to solve this problem:
144 degrees - > 15 inches
360 degrees -> 2 * pi * radius
144/360 = 15/(2pi*radius)
2pi*radius = 360 * 15 / 144
radius = 37.5/(2pi)
radius = 5.9683 inches
Rounding to nearest whole number, we have radius = 6 inches
Correct option: c)
