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The following data represent the weight (in grams) of a box of raisins and the number of raisins in the box.

\begin{matrix} \text{Weight (in grams), w} & \text{Number of Raisins, N}\\ \hline \text{42.3} & \text{87}\\ \text{42.7} & \text{91}\\ \text{42.8} & \text{93}\\ \text{42.4} & \text{87}\\ \text{42.6} & \text{89}\\ \text{42.4} & \text{90}\\ \text{42.3} & \text{82}\\ \text{42.5} & \text{86}\\ \text{42.7} & \text{86}\\ \text{42.5} & \text{86}\\ \end{matrix}

Select two points and find a linear model that contains the points.

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Question

The angle of elevation from the top of a building 45.0 ft high to the top of a nearby antenna tower is $15^{\circ} 20^{\prime}$ . From the base of the building, the angle of elevation of the tower is $29^{\circ} 30^{\prime}$ . Find the height of the tower.

Solution

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Using the figure of the building and tower, we compute for the height of the tower.

From the base of the building, the angle of elevation of the tower is $29.30\degree$ while the angle of elevation from the top of a building to the top of a nearby antenna tower is $15.2\degree$