Answer:
The probability you see a dolphin or a whale on both days is 0.64
Step-by-step explanation:
Consider the provided information.
It is given that the brochure claims an 80% chance of siting a dolphin or a whale.
The provided claims can be written as: 80% or 0.80
Let say first day you see a dolphin or a whale and same happen on the next day.
Thus, the probability is:
0.80 × 0.80 = 0.64
Probability of see them on both days is 0.64
Hence, the probability you see a dolphin or a whale on both days is 0.64
Answer: see below
<u>Step-by-step explanation:</u>
The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x
Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.
Quadrangles are: 0°, 90°, 180°, 270°, 360° <em>(360° = 0°)</em>
Together, the coordinates will be as follow:
325 meters if using full height of 324 meters for tower
277 meters if using observation platform height of 276 meters.
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
h/tan(37)
where
h = height of the observer.
And when the depression is 72 degrees, the distance will be:
h/tan(72)
So the distance between the two points will be the absolute value of:
h/tan(72) - h/tan(37)
=(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
=(tan(37)h - tan(72)h) /(tan(37)tan(72))
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(-2.324129487/2.319200894)
=h*-1.002125125
And since we're looking for absolute value
=h*1.002125125
As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
=h*1.002125125
=324*1.002125125
= 324.6885406 m
=h*1.002125125
=276*1.002125125
=276.5865346
All you have to do is divide the number by the denominator which is 8. So 510 divided by 8.
Which will give you 63.75.
Then you times it by the numerator which is 3 so 63.75 x 3
And you are left with £191.25 which is 3/8 of 510