Traffic sign

There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).

Correct answer:

A =  4.0042 °
B =  4.014 °

Step-by-step explanation:

r=7%=1007​=0.07  tan A = xy​ = r  A=π180°​⋅arctanr=π180°​⋅arctan0.07=4.0042∘=4°15"
r = y/a a=1 m y1​=a⋅ r=1⋅ 0.07=1007​=0.07 m x1​=a2−y12​​=12−0.072​≐0.9975 m  B=π180°​⋅arctan(x1​y1​​)=π180°​⋅arctan(0.99750.07​)≐4.014∘  B ≈ A

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You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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