Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:
When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:
Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
The answer is (-4, 5) x= -4 y= 5
Answer:
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation:
∠UXW = 36°
∠WZX = 66°
∠UWY = 48°
∠XYZ = 42°
Use the Alternate Exterior Angles Theorem. Always remember that a triangles angles add up 180°, so you can subtract the angles you already know in a triangle to figure out the remaining angle.
