What is the value of x
2 answers:
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Given:
The length of the ladder = 12 ft
The angle of ladder with ground = 60 degrees
To find:
How far up the building the ladder will reach.
Solution:
Using the given information draw a figure as shown below.
We need to find the vertical distance between the top of ladder and the ground.
Let x be the required distance.
In a right angle triangle,
In the below triangle ABC,
Multiply both sides by 12.
Therefore, the ladder will reach ft far up the building.
Take a look at the attached picture of the unit circle.
If you have negative radians, you would go around the circle counterclockwise starting from 0. Remember that 1π is a semicircle. Go counterclockwise 1π to get to 180<span>° or (-1,0).
</span>
Now you just need to go counterclockwise 3π/4 more, since 7π/4 is 3π/4 more than π. 3/4 of π would just be 3/4 of a semicircle. (Try to imagine that in your head. It looks like 3 slices of a pizza that was cut into 8 slices.) The second picture shows you moving 3π/4 from π on the unit circle, which would put you at 45° or π/4.
At π/4, the coordinates are
.
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Answer:
If you have negative radians, you would go around the circle counterclockwise starting from 0. Remember that 1π is a semicircle. Go counterclockwise 1π to get to 180<span>° or (-1,0).
</span>
Now you just need to go counterclockwise 3π/4 more, since 7π/4 is 3π/4 more than π. 3/4 of π would just be 3/4 of a semicircle. (Try to imagine that in your head. It looks like 3 slices of a pizza that was cut into 8 slices.) The second picture shows you moving 3π/4 from π on the unit circle, which would put you at 45° or π/4.
At π/4, the coordinates are
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Answer: