The distance from the tower to the fire is 529.10feet
<h3>Angle of depression</h3>
The distance from the tower to the fire is the hypotenuse of the resulting triangle
Given the following
- Height of the tower = 110ft
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 12 = 110/H
H = 110/sin12
H = 110/0.2079
H = 529.10
Hence the distance from the tower to the fire is 529.10feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
Im actually pretty sure its C because 4 to the power of 2 is 16 and then add those too up 16+25=41
5a-9
I think this is the answer I am a little unsure of what the question is.
Answer:
Step-by-step explanation:
In order to find r we have to square both sides of the equation
The *square root* sign cancels out the *squared* sign therefore: