Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: 
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
Answer:
Step-by-step explanation:
To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.
Input 1/3 and b=-4 into y=mx+b.
Answer: 12.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A slope of 4 has a greater rate of growth than a graph with a slope of 1
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
