## Related questions with answers

Question

Katie and Kim are attending a theater performance. Katie's seat is at floor level. She looks down at an angle of 18$^{\circ}$ to see the orchestra pit. Kim's seat is in the balcony directly above Katie. Kim looks down at an angle of 42$^{\circ}$ to see the pit. The horizontal distance from Katie's seat to the pit is 46ft. What is the vertical distance between Katie's seat and Kim's seat? Round to the nearest inch.

Solution

VerifiedStep 1

1 of 5Data with respect to the given angle $\theta_1$ :

$\begin{equation*} \theta_1=18\text{\textdegree} \end{equation*}$

$\begin{equation*} \text{opposite}=h_1 \end{equation*}$

Here $h_1$ is the height of Katie's seat.

$\begin{equation*} \text{adjacent}=46 \end{equation*}$

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