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ch4aika [34]
3 years ago
11

Check all of the points that are solutions to the system of inequalities.

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

D

Step-by-step explanation:

I got it correct

Naddik [55]3 years ago
5 0

Answer:

a  is the answers

Step-by-step explanation:

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The recommended angle for a firefighting ladder is 75 degrees. When a 110-foot ladder is put up against a building at this angle
Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (110 ft), the opposite leg is the height the ladder will reach h, and the adjacent leg is the distance between the base of the ladder and the building (28 ft); we have two options:

1) Using trigonometric functions, since we are given the angle \theta=75\°

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

(hypotenuse)^{2}=(opposite-leg)^{2}+(adjacent-leg)^{2}

(110 ft)^{2}=(h)^{2}+(28 ft)^{2}

Isolating h:

h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}

h=106.37 ft

Adding to this height the extra height of 8 ft (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):

h=106.37 ft+8 ft=114.37 ft This is the height the ladder will reach

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