Simplify, and write your answer as a numeral: ( The problem is in the picture I attached )
1 answer:
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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:
12.58 feet.
Step-by-step explanation:
Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.
We have to find out the length of the base of the ramp.
Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.
If the base length is x feet, then we can write using the trigonometry
⇒ x = 14 cos 26° = 12.58 feet. (Answer)