Question

The side view of a ramp that Jessie built for his race cars is shown below. Find r,the length of the ramp to the nearest tenth.

Answer 1

Answer:The answer is 15.7 inches

Explanation:

The ramp forms a right angle triangle.

Opposite side = The height of the ramp above the ground .

Hypotenuse= The length of the ramp

Adjacent=The base of the ramp

In order to find r, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Where the hypotenuse =r

Opposite=7

Adjacent =14

Therefore , substitute into the equation:

r² = 7² + 14² = 49 + 196

r² = 245

r = √245

r=15.7162336455

Approximate to the nearest tenth :

r = 15.7 inches to the nearest tenth

Answer 2

Option B is correct.

The length of the ramp = 15.7 inches

Explanation:

The image of the full question is attached to this solution I'll provide.

This is a problem that just requires the application of the Pythagoras theorem.

From the image, the vertical height of the tank is 7 inches.

And the horizontal distance spanned by the ramp = 14 inches.

This all forms a right angled triangle with the length of the ramp as hypotenuse.

Pythagoras theorem, stated mathematically is

(Hyp)² = (Opp)² + (Adj)²

(Hyp)² = 7² + 14²

(Hyp)² = 245

Hyp = 15.65 inches = 15.7 to 1 d.p.

Hence, the length of the ramp = 15.7 inches

Hope this Helps!!!