Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?
1 answer:
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The strategy
<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
</span>
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>Forming an equation and solving
</span>
Denoting the missing angle by θ, we obtain the equation
<span>
</span>Solving the equation, we get
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =
degrees.
<span>Model the situation as a right triangle.
Determine the appropriate trigonometric ratio in order to find the missing angle.
Form an equation and solve for the missing angle.
Calculate the final result and round.
</span>
Modeling as a right triangle
This situation can be modeled by the following right triangle. The hypotenuse is 100 meters and the height is 42 meters. <span>We are asked to find the angle of elevation, which is the angle on the left.
</span>Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse <span>The appropriate trigonometric ratio is therefore the SINE.
</span>
<span>Forming an equation and solving
</span>
Denoting the missing angle by θ, we obtain the equation
</span>Solving the equation, we get
Evaluating this result in the calculator and rounding to the nearest tenth, we get θ =