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Shtirlitz [24]
3 years ago
12

osha requires a ladder to meet the ground at 75 degree angle in order to function as safely as possible. of you need the ladder

to reach a ledge 20 feet up a vertical wall, how long does the ladder need to be?
Mathematics
1 answer:
VMariaS [17]3 years ago
8 0
Draw a right triangle with a right angle and a 75 deg angle at the bottom.
The hypotenuse is the length of the ladder.

sin A = opp/hyp

sin 75 = 20/hyp

hyp = 20/sin 75 = 20.7

Answer: 20.7 ft
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F(x) = 2(x+3)2 -7<br><br><br> a= <br><br> h=<br><br> k=
vlabodo [156]

Answer:

Step-by-step explanation:

In vertex form, the equation is

y = a(x-h)^2 + k

So just read off the values!

6 0
3 years ago
A man flies a kite at a height of 15 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Misha Larkins [42]

Answer:

4.4 ft/s

Step-by-step explanation:

Height = 15ft

Rate= 5 ft/s

Distance from the man to the kite= 32ft

dh/dt = 5 ft/s

h = √32^2 - 15^2

h = √ 1025 - 225

h = √800

h = 28.28ft

D = √15^2 + h^2

dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt

= h(225 + h^2)^-1/2 dh/dt

= (h / √225 + h^2)5

= (28.28 / √225 + 28.28^2)5

= (28.28 / √1024.7584)5

= (28.28/32)5

= 0.88*5

= 4.4 ft/s

3 0
4 years ago
A Ladder That Is 5 meters in length is resting on a branch of a tree and the base of the ladder is 3 meters from the tree on the
Stells [14]
Use  the Pythagoras theorem:-

height = sqrt(5^2 - 3^2 ) =  sqrt16  = 4 metres  Answer.



5 0
3 years ago
A cylinder has a base diameter of 6 feet and a height of 2 feet . what is its volume in cubic feet, to the nearest tenths place?
expeople1 [14]
H=2ft
d=6 ft
r=d/2
r=6/2=3ft
V= π•r^2•h
V=3.14•3^2•2
V=3.14•9•2
V=56.52 ft3
V~56.5ft3
5 0
3 years ago
Please help <br><br> It’s due tonight
Natalija [7]

Answer: 18 units long

Step-by-step explanation:

In the diagram, it looks like line segment AW is 6 units long and WB is 12 units long. Because of parts-whole postulate (the whole is equal to the sum of its parts), you can add AW and WB's lengths together. 6 + 12 = 18, so the length of line segment AB is 18 units long.

5 0
3 years ago
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