Its simply 87 + 30, which equals 117.
Answer:
<u>The distance from the helicopter to the further observer is:</u>
<u>d = 12.77 miles</u>
Step-by-step explanation:
The observer with 19.5° of elevation will be denoted by 1
The observer with 31.2° of elevation will be denoted by 2.
Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.
For the second observer:
(1)
Where:
- h is the opposite side
- x is the adjacent side (distance from the observer 2 to the point where the angle of elevation is 90° )
For the first observer:
(2)
Where:
- h is the opposite side
- 5+x is the adjacent side (distance from the observer 1 to the 90° elevation point, 5 miles is the distance between observes )
Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.
Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).
Let's use the cosine function to find d.
I hope it helps you!
Answer:
It takes them approximately 27 minutes to mow the lawn if they are working together.
Step-by-step explanation:
Wilma can mow a lawn in 80 minutes. This means she can mow at the rate of 1 lawn in 80 minutes. We can write this rate as R = 1/80
Melissa can mow the same lawn in 40 minutes. This means she can mow at the rate of 1 lawn in 40 minutes. We write the rate as R = 1/40.
Now, if the are working together, we need to determine how long it would take for them to mow a lawn. Let this rate be 1/x.
What we want to find is
1/80 + 1/40 = 1/x
Multiply through by 80, we have
1 + 2 = 80/x
3 = 80/x
Take reciprocals of both sides
x/80 = 1/3
x = 80/3
= 1600 seconds
Approximately 27 minutes
Step-by-step explanation: For - 3 1/2 you would place between the -4 and -3 in the middle
The other one I don't know because I can't see the denominator but if you tell me I could
Answer: 24 units
Step-by-step explanation:
From the question:
MO, NO and LO are radii.
If MO = 13, THEN LO = NO = 13
IF NO = 13 and NP = 8, THEREFORE,
PO = NO - NP
PO = 13 - 8 = 5
USING PYTHAGORAS, WE CAN FIND MP:
MP = Sqrt(MO^2 - PO^2)
MP = sqrt(13^2 - 5^2)
MP = sqrt(169 - 25)
MP = sqrt(144)
MP = 12 units
P is the midpoint of Segment ML,
THEREFORE,
MP = PL
ML = MP + PL
ML = 12 + 12
ML = 24 units