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
A rotation rotates the pre image an x amount of degrees
a translation shifts a pre image up and down or left and right
a reflection reflects an image across an x or
y axis
a dilation stretches or compresses(shrinks) a pre image
Use the concept of Lagrange multipliers.
The fifth square root as in a^(1/2)^(1/2)^(1/2)^(1/2)^(1/2)
Well that is equal to a^((1/2)^5) or a^(1/32)
Since a=x^16 in this case and the rule (b^a)^c=b^(a*c) we have:
(x^16)^(1/32)
x^(16/32)
x^(1/2) or if you prefer
√x
Answer:
791.2 ft
Step-by-step explanation:
The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.
where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then