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2 years ago

A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is it's angle of inclination to the nearest degree?

Mathematics

1 answer:

Irina18 [472]2 years ago

4 0

The inclination angle is 10°

Step-by-step explanation:

The given scenario forms a right angled triangle where the length of ramp is hypotenuse and the rise of ramp is the perpendicular

Given

H = 4.2m

P = 0.7m

We have to use the trigonometric ratios to find the angle. The ratio that has to be used should involve both perpendicular and hypotenuse

Let x be the angle

then

$sin\ x = \frac{P}{H}\\sin\ x = \frac{0.7}{4.2}\\sin\ x = 0.1666\\x = sin^{-1} (1.666)\\x = 9.59 => 10$

Hence,

The inclination angle is 10°

Keywords: Trigonometric ratios, Right angled triangle

Learn more about ratios at:

#LearnwithBrainly

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