Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
The value of
when
comes to be
.
Given that trigonometric ratio:

<h3>What is the tangent of an angle?</h3>
The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to
= 11
Adjacent side to
= 60
So, 

Therefore, the value of
when
comes to be
.
To get more about trigonometric ratios visit:
brainly.com/question/24349828
Answer:
-3
Step-by-step explanation:
consider f(x)=y
y=-3x+7
compare with y=mx+c
slope m=-3
Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.
The equation given is:

The solution of the equation given is:

The squares of the integers numbers until the square root of 3 are:


Since
, the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.
A similar problem is given at brainly.com/question/3729492
Answer:
-43.68
Step-by-step explanation: