Mathematics: Amotorist traveled 200 miles on 11 gallons of gas. with the same vehicle, about how far could he go on 16 gallons of gas?

Amotorist traveled 200 miles on 11 gallons of gas. - id20011230589, Joshuafranklindude

mazielynn84

10.03.2022

290.88 miles

Step-by-step explanation:

200 ÷ 11 = 18.18

16 × 18.18 = 290.88 miles

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skyrae05

04.09.2022

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

$tan\theta = \frac{Perpendicular}{Base}$

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

$\theta = 12.5^{\circ}$

Put in the identity

$tan\ 12.5^{\circ} = \frac{CB}{AC}$

$tan\ 12.5^{\circ} = \frac{CB}{60}$

$tan\ 12.5^{\circ} = 0.22$

$0.22= \frac{CB}{60}$

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.

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