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sladkih [1.3K]
3 years ago
8

A ramp was built by the loading dock. The height of the loading platform is 4 feey. Determine the length of the ramp if it makes

a 32° angle with the ground. .
Mathematics
1 answer:
Yanka [14]3 years ago
8 0
Length is then the hypotenuse of the triangle. So sin(32)=4/length. Then length=4/sin(32). use a calculator to solve
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Pls help need it ASAP
vitfil [10]

Answer:

3x-2y=17........(1)

x=4y-1

substituting value of x in equation 1

3(4y-1)-2y=17

12y-3-2y=17

10y=17+3

y=20/10=2

again

substituting value of y in equation 1

3x-2×2=17

3x=17+4

x=21/3=7

:.x=7,y=2

3 0
3 years ago
The dimensions in inches of a shipping box at we ship 4 you can be expressed as width x, length x+5, and height 3x-1. The volume
MakcuM [25]

Answer:

Connexus: C,D,C,A,A.

Step-by-step explanation:

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4 years ago
Simplify (5x^3+7x-8)+(2x^3-5x^2-x+3)​
Anna [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
How do you factor 8x+56?
Aleksandr [31]
If you mean how do you get x by it's you divide both sides by 8, to cancel out the multiplication between x and 8, meaning that it would end up being x=7, sorry if that didn't answer your question correctly. 
8 0
3 years ago
Read 2 more answers
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