In order to rescue Sela's cat, her mother propped a 19 foot long ladder against a tree at a 42° angle with the ground. How many feet above the ground was their cat? Round your answer to the nearest tenth of a foot?
1. 21.2 ft
2. 14.4
3. 12.7
4. 28.4
I NEED THE ANSWER BEFORE 9:50 PM EST TIME!!!
my choice- a
Nice table, but you just need to understand the definition of the trig functions. In this case,
h/19 = sin 42º
h = 19*.6691 = 12.71
You should have immediately seen that your answer is wrong, because the ladder is only 19 feet long. How could it possibly reach 21 feet up the tree?
angle- 42º | angle- 48º
sin- 0.6691 | sin- 0.7431
cos- 0.7431 | cos 0.6691
tan- 0.9004 | tan- 1.1106
can you tell me whats it for...
To find out how many feet above the ground Sela's cat was, we need to apply trigonometry.
We know that the ladder forms a right triangle with the ground and the tree. The 19-foot ladder represents the hypotenuse, the angle between the ladder and the ground is 42 degrees, and we need to find the height of the tree (opposite side).
Using the sine function (sin), which relates the opposite side to the hypotenuse, we can find the height of the tree:
sin(42°) = opposite / hypotenuse
sin(42°) = height / 19
To solve for the height (opposite side), we multiply both sides of the equation by 19:
19 * sin(42°) = height
Using a calculator, we find:
19 * sin(42°) ≈ 12.7
Therefore, the cat is approximately 12.7 feet above the ground.
So the correct answer is choice 3. 12.7 ft.
To find the height of the cat above the ground, we can use trigonometry. We can use the sine function, which relates the opposite side (height of the cat) to the hypotenuse (length of the ladder).
The trigonometric equation we can use for this problem is:
sin(angle) = opposite / hypotenuse
In this case,
sin(42°) = height of the cat / 19 ft
To solve for the height of the cat, we can rearrange the equation:
height of the cat = sin(42°) * 19 ft
Now, let's calculate the answer:
height of the cat = sin(42°) * 19 ft
height of the cat ≈ 0.669 * 19 ft
height of the cat ≈ 12.711 ft
Rounding to the nearest tenth of a foot, the answer is approximately 12.7 ft.
Therefore, the correct answer is 3. 12.7 ft.