A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. how tall is the tower?
2 answers:
Answer:
128.67 ft
Step-by-step explanation:
Topic: Trigonometric Functions
You should be familiar with the concept of trigonometric functions because this topic involves degrees of traingles with the lenght of their sides, as you can see in the image, you need to remember which trigonometric function involves both sides (not hypotenuse) of a triangle, let's review
O= opposite, A = adjacent, H = Hypotenuse, α = 65°
sen (α) =
cos(α) =
tan(α) =
guess which of them works? yeah its tan(α), so we have that
tan(65°) =
findig h in the previous equation we have that
60 ft * tan(65°) = h
computing in a calculator it means that the height (h) of the tower is
h = 128. 67 ft
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Answer:
6.96 hours.
Step-by-step explanation:
First, we need to find out the hour rate of bushels picked for each of them.
If Imani can pick 40 bushels in 15 hours, then he picks 40/15 = 8/3 bushes per hour.
If Bill can pick 40 bushels in 13 hours, then he picks 40/13 bushes per hour.
Working together, they pick: bushes per hour.
Let's simplify this expression:
= 5.74
Now we can use a rule of three
1 hour -------5.74
x hours ------40
Then,
x = 40 / 5.74 = 6.96
Therefore, it would take them 6.96 hours working together.