Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram. Show all of y
1 answer:
You might be interested in
Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
__
The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
First, look at the digits less than one one-hundredth (
, or .01):
0.00416
See if that number is closer to the higher or lower hundredth:
(if the first digit is 5 or greater, then higher;
if the first digit is 4 or lower, then lower)
Since 4 is closer to the lower hundred, round down
0.00416 -> 0.00000
Add this to the digits we didn't touch:
<span>17,546.32000 + 0.00000 = 17,546.32
</span>17,546.32416 rounded to the nearest hundredth is C. <span>17,546.32</span>
0.00416
See if that number is closer to the higher or lower hundredth:
(if the first digit is 5 or greater, then higher;
if the first digit is 4 or lower, then lower)
Since 4 is closer to the lower hundred, round down
0.00416 -> 0.00000
Add this to the digits we didn't touch:
<span>17,546.32000 + 0.00000 = 17,546.32
</span>17,546.32416 rounded to the nearest hundredth is C. <span>17,546.32</span>