3 years ago

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

C both line and point symmetry

Step-by-step explanation:

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A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.

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The grade is the ratio of rise to run, i.e. the slope aka the tangent.

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$\theta = \arctan 0.1 \approx 5.711^\circ$

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$\sin\theta = \dfrac h c$

$h = c \sin \theta$

We could just take the sine of the angle we got but let's get it from the tangent exactly.

$\cos^2 \theta + \sin ^2 \theta = 1$

Dividing by squared cosine

$1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)$

$(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)$

$\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)$

$\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101$

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