Answer:
x = 13.7
Step-by-step explanation:
This is a right triangle so we use the trig ratios. We need an angle of reference (not the right angle) and any side (which is given, hypotenuse = 47).
We can either find the angle at the top or the right to be the angle of reference, Θ (theta).
Angle at the top:
The two angles, 17° and the unknown interior angle add to 90° because they are complementary.
∠Θ = 90° - 17° = 73°
Now use the trig ratio cosine.
cosΘ = adjacent ÷ hypotenuse
cos(73°) = x / 47
x = 47cos(73°)
x = 13.74147..... Round down the exact answer to nearest tenth
x ≈ 13.7 Answer
The value of x is the same as the side adjacent to the angle of reference I chose.
If I chose the other missing angle to be the angle of reference, I would use sine and x would be opposite.
Answer: The value is 3
Work: 16f=1/3(-12)^2 16f=1/3•12^2 16f=1/3•144 16f=48
Rule of trigonometric functions:-
sin a = cos(90 - a)
Here a = 90°.
sin 90 = cos (90 - 90)
1 = cos 0.
cos 0 = 1.
So the cos 0 = 1.
To find the radius of the circular bad, use the Pythagorean thereom.
A^2 + B^2 = C^2
Substitute A^2 with the height, 55, and C^2 with the slant height, 73.
55^2 + B^2 = 73^2
Then simplify
3025 + B^2 = 5329
Subtract 3025 from both sides
B^2 = 2304
Find the square root of both sides
B = 48
The radius of the base of the cone is 48.
If you have any frther questions feel free to ask.
Hope this helps.
Well 60% of 51,000 is 30,600 i wasn’t sure what the question was tho lol
