Can some one PLEASE help me figure out how to solve this. Just a formula or hint would be helpful. Thank you!!
A 10 ft. ladder is leaning against a building and makes an angle of 65 degrees with the ground. How high above the ground is the top of the ladder?
draw the sketch: right triangle, hyponenuse 10, base angle 65
h/hypotenuse= sin65
h= 10*sin65
Now what do you mean by sin65? I know it has to do with the calculator. But can you walk me through this
To solve this problem, you can use trigonometry and the concept of right triangles.
First, let's draw a diagram to visualize the scenario.
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h | \ 10 ft
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|_______\
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ground
Here, "h" represents the height above the ground. The ladder forms a right triangle with the ground and the side of the building. The angle between the ladder and the ground is given as 65 degrees.
Now, we can use the sine function to find the height ("h"). The sine of an angle in a right triangle is calculated by dividing the length of the side opposite the angle by the length of the hypotenuse.
In this case, the side opposite the angle is the height ("h") and the hypotenuse is the length of the ladder (10 ft).
So, we can use the formula: sin(angle) = opposite/hypotenuse
In this case, sin(65 degrees) = h/10 ft.
Now, we can rearrange the formula to isolate "h":
h = 10 ft * sin(65 degrees)
Using a scientific calculator, you can calculate the sine of 65 degrees (or use a trigonometric table) and more precisely calculate the height.