9.42 Units
Step-by-step explanation:
Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:
270/360; 360 being the total angle measurement of a circle
270/360 simplifies to 3/4
The fraction represents how much of the circle that arc covers
Now we have to find the circumference which would be
2(3.14)r
r = 2 therefore: 2(3.14)2 = 12.56
Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length
Which gives us 9.42
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
He can either measure the third side length, apply the Pythagorean theorem to find the height of the triangle, and then calculate the area, or he can find the measure of the included angle between the known side lengths and use trigonometry to express the height of the triangle and then determine the
area of the triangle
The answer is A. y = -2/5
