Answer:
#3
20tan(53) + 5 feet OR 31.54 feet (rounded to nearest hundredth)
#4
6tan(32) feet OR 3.75 km (rounded to nearest hundredth)
Step-by-step explanation:
#3
The horizontal line is at Chloe's eye level, which is 5 feet.
She looks up at an angle of 53 degrees, and is 20 feet away from the statue. This creates a right triangle that you can use basic trigonometry to solve.
Let's call the shorter leg (upper half of statue) as x and the longer leg (distance between Chloe and statue) is 20 feet. We are given the opposite and adjacent sides (from the given angle) so we can use tan.
tan = opp/adj, so tan(53)=x/20
If you plug 20 tan 53 into your calculator to find x, you get 26.54089643
But you have to add 5 feet to your answer because that is her eye level.
#4
The horizontal distance from airplane to raft is 6km, the angle of depression is 32 degrees from the airplane, and we are asked to find the altitude of the plane (x).
We are given an adjacent side and are tasked to find the opposite side, so we will use tan.
tan 32=x/6
Plug this into your calculator and you get x=3.749216111 km.
Answer:
Both the mean and median and they both gives a measure of 17
Step-by-step explanation:
Given the data about the ages of 7 people :
17,20,22,12,15,12,21
Ordered data: 12, 12, 15, 17, 20, 21, 22
To find the median :
Median = 1/2 * (n+1)th term
n = number of observations = 7
Median = 1/2(7+1)th term
Median = 1/2 *8 = 4th term = 17
Mean = Σx / n = (sum of ages) / number of observations
Mean = 119 / 7 = 17
Answer:
The value of x is 5 therefore we'll change x to 5 and so the the value of y to 7. And follow the formula x+y=
Step-by-step explanation: