Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
Answer:
The tree is 28 feet tall.
Step-by-step explanation:
It is given that:
Height of flag pole = 8 feet
Shadow of flag pole = 6 feet
Ratio of height to shadow = 8 : 6
Shadow of nearby tree = 21 feet
Height of nearby tree = x
Ratio of height to shadow = x : 21
8 : 6 :: x : 21
Product of means = Product of extremes
6x = 8*21
6x = 168
Dividing both sides by 6
Therefore,
The tree is 28 feet tall.