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:
2
Step-by-step explanation:
There would be 3 possible measurements for the 3rd side of the triangle because if you use the hypotenuese formula, you see C^2 = A^2 + B^2 so the two sides could be A and B, or they can be C and A / C and B but the C and __ would be the same for both A and B because they would be added the same way. (they would be equal)
Answer:
Step-by-step explanation:
Represent the diagonals as:
Required
Determine the coordinate of the intersection
To do this, we simply calculate the midpoint of AC or BD.
For AC:
The midpoint is:
This gives:
For BD:
The midpoint is:
This gives:
Notice the midpoints are the same:
<em>Hence, the coordinates of the intersection is (2,1)</em>
There is a formula to find the slope (m)
(y2 - y1) / (x2 - x1)
So we now have y = mx + b where m is the value you just calculated
The y intercept (b) = y - mx
Plug in the x,y values for one of your points into this formula
When adding two negative integers you will get a negative sum
