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Rapunzel is looking at a plane flying in the sky. She is looking up at an angle of elevation of
36^(@). The horizontal distance from Rapunzel to the plane is 11,600 feet. How high above the ground is the plane?
Note: Figure may not be drawn to scale.
Provide an answer accurate to the nearest tenth.
Tabelrequired

Rapunzel is looking at a plane flying in the sky. She is looking up at an angle of elevation of $36^{\circ}$ . The horizontal distance from Rapunzel to the plane is $11$ , $600$ feet. How high above the ground is the plane? $\newline$ Note: Figure may not be drawn to scale. $\newline$ Provide an answer accurate to the nearest tenth. $\newline$ Tabelrequired

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Find probabilities using combinations and permutations

Full solution

Q. Rapunzel is looking at a plane flying in the sky. She is looking up at an angle of elevation of

36^{\circ}

. The horizontal distance from Rapunzel to the plane is

11

,

600

feet. How high above the ground is the plane?

\newline

Note: Figure may not be drawn to scale.

\newline

Provide an answer accurate to the nearest tenth.

\newline

Tabelrequired

Use Tangent Function: Use the tangent function because we have the angle of elevation and the horizontal distance to find the height. $\newline$ $\tan(36°) = \frac{\text{height}}{11,600 \text{ feet}}$
Calculate Height: Calculate the height by multiplying both sides by $11,600$ feet. $\newline$ $\text{height} = 11,600 \text{ feet} \times \tan(36°)$
Find Tan Value: Use a calculator to find $\tan(36°)$ . $\tan(36°) \approx 0.7265$
Plug in Value: Now plug the value into the height equation. $\newline$ height $\approx 11,600$ feet $* 0.7265$
Perform Multiplication: Perform the multiplication to find the height. $\newline$ height $\approx 8,427.4$ feet
Round to Nearest Tenth: Round the height to the nearest tenth. $\newline$ height $\approx 8,427.4$ feet (rounded to the nearest tenth)

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