Viola drives 200 meters up a hill that makes an angle of 9° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

1,262.8 m
200.4 m
197.5 m
31.3 m

Thank you so much! ^_^

Awwe thanks so much MathMate. The people who are lazy to times 200m*0.9877. The answer is 197.5 meters^-^

Distance measured along the road

= hypotenuse
Angle = 9°
Horizontal distance
= hypotenuse * cos(9°)
=200m * 0.9877
= ?

Thank You for your help!! :)

You're welcome! :)

Thank you so muchhh! MathMate you are literally a savior!

To find the horizontal distance that Viola has covered, we can use trigonometry.

First, we need to convert the angle from degrees to radians, since most trigonometric functions in mathematical calculations work with radians.

To convert degrees to radians, we use the following formula: radians = degrees x (π/180)

In this case, Viola's angle is 9°, so we can calculate the angle in radians as follows:

radians = 9° x (π/180) = 0.15708 radians (rounded to 5 decimal places).

Now, we can use the trigonometric function cosine to find the horizontal distance (adjacent side) covered by Viola.

cos(angle) = adjacent/hypotenuse

In this case, the adjacent side represents the horizontal distance covered by Viola. The hypotenuse represents the total distance Viola traveled, which is given as 200 meters.

So, we can rearrange the formula to solve for the adjacent side:

adjacent = cosine(angle) x hypotenuse
= cos(0.15708) x 200
= 197.554 m (rounded to the nearest tenth)

Therefore, the horizontal distance that Viola has covered is approximately 197.5 meters.

Therefore, the correct answer is option C: 197.5 m.

52. Liola drives 19 km up a hill that is at a grade of 15o. What horizontal distance, to the nearest tenth of kilometer, has she covered?

a.5.1 km
b.4.9 km
c.14.2 km
d.18.4 km