Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
It's 4:3 because if its 24:18 you can break it down by dividing 6 from both of them to get 4:3
Answer:
Only options A and B are correct, i.e. y = sin∅ and y = cos∅.
Step-by-step explanation:
The graphs that oscillate, should be periodic in nature and continuous functions.
We know all trigonometric functions are periodic in nature. But not all trigonometric functions are continuous.
The function is continuous if its values are defined at all angles and it should not be undefined for any particular angle.
We know the following facts:-
tan(90°) = ∞
sec(90°) = ∞
csc(0°) = ∞
cot(0°) = ∞
<u>Only sin and cos don't have values ∞ at any angle.</u> It means only sin and cos are continuous functions.
Hence, only options A and B are correct, i.e. y = sin∅ and y = cos∅.
Answer:quadrupled
Step-by-step explanation:
If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).
