Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Answer:
B) Adjacent
Step-by-step explanation:
The hypotenuse will ALWAYS be designated as the longest side in a right triangle.
Pretend that the angle (the one with the round line) is an eyeball that is looking outwards. The eye is looking out at side BC. That means that line BC is opposite of the angle.
This leaves one side left: the adjacent side. The adjacent side is the side next to the angle. But it is the side that is NOT the hypotenuse.
Answer:
y=-37
Step-by-step explanation:
0+6y=7(y+6)-5
0+6y=7y+42-5
6y=7y+37
-1y=37
y=-37
Answer:
Sorry if this doesn't help:
Step-by-step explanation:
1, Order the data from least to greatest.
2, Find the median.
3, Calculate the median of both the lower and upper half of the data.
4, The IQR is the difference between the upper and lower medians.
Good luck!
