The picture below shows a box sliding down a ramp: A right triangle ABC has measure of angle ABC equal to 90 degrees and measure
2 answers:
The Image of the triangle is missing and so i have attached it.
Answer:
B: 12 cosec 65°
Step-by-step explanation:
From the diagram attached, we cans see the triangle is a right angle triangle with a given internal angle of 65° and side AB with a length of 12 ft.
Now, we can use trigonometric ratios to find the distance the box has to move from point A to point C which is basically the distance AC.
Now, the given side AB is opposite to the angle. While the required side AC is the hypotenuse.
Thus;
Opposite/hypotenuse = sin θ
Thus;
AB/AC = 12/AC = sin 65
Thus;
AC = 12/sin 65
From trigonometric relationships, we know that;
1/sin θ = Cosec θ
Thus;
AC = 12 cosec 65
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Answer:
and
Step-by-step explanation:
- To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒
.
- Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow
⇒
- Then rearranging terms
- This expression results in
- Finally, using the firs equation, in which we obtained an expression from x,
, we replace y=1/2 and get
, then