Answer:
7.8 units separate the points A and B.
Step-by-step explanation:
Going from B to A, x increases by 6 (this is the horizontal side of the triangle formed by vertices A and B), and y increases by 5. Applying the Pythagorean Theorem, we get
d = √(6² + 5²), or √(61, which is approximately 7.8, the desired distance.
Step-by-step explanation:
Remember:
SOH - Sin(angle) = Opposite/Hypotenuse
CAH - Cos(angle) = Adjacent/Hypotenuse
TOA - Tan(angle) = Opposite/Adjacent
The initial amount is the first number = 1500
Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%
Replace t with 5 and solve
1500(1.074) ^5 = $2143.45
EQUATION: 5x = 2x - 9
Add 9 to both sides
NEW EQUATION: 5x + 9 = 2x
Subtact 5x from both sides:
NEW EQUATION: 9 = -3x
Divide -x on bith sides
NEW EQUATION: -3 = x, or x=-3
Answer: x ≈ 18 ft
Step-by-step explanation:
We will use our trig knowledge to solve this.
The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.
We can set up a simple trig equation of: tan(50) = x/15
x being the height of the lamppost.
Now we solve.
tan(50) = 1.1918
1.1918 *15 = x
x = 17.876
Now round to the nearest foot.
x ≈ 18 ft