Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
Store C offers the lowest price at $94.94
First let us determine the total number of combinations that
can be made from these pair. The number of combinations can simply be
calculated by multiplication, so:
Combination = 4 * 4 = 16
Since we know that for each shirt color, there is a
corresponding sock with the same color. So there are 4 matching pairs.
Therefore the unmatching pairs are 12. Calculating the probability to get
unmatching pair would be:
Probability of unmatching pair = 12/16 = 0.75
Interpretation: There is a 75% probability that his socks
and shirt wont match.
Answer:
or 0.08333...
Step-by-step explanation:
To divide by a fraction, multiply the first fraction by the opposite of the second fraction, or the reciprocal.
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