Question

use the following diagram to answer question 5.

1. determine the height above the ground, h, of julies kite using the above diagram.

round to one decimal place.
we know

Explanation:

Step1: Calculate \( h_1 \)

Use the tangent function \( \tan\theta=\frac{\text{opposite}}{\text{adjacent}} \). Here \( \theta = 15^{\circ}\), adjacent \(=25m\), and opposite \(=h_1\). So \( h_1=25\times\tan(15^{\circ})\).
Since \( \tan(15^{\circ})=2 - \sqrt{3}\approx0.2679\), then \( h_1=25\times0.2679 = 6.6975m\).

Step2: Calculate \( h \)

We know that \( h=h_1 + h_2\). Given \( h_2 = 1.2m\).
Substitute \( h_1 = 6.6975m\) and \( h_2=1.2m\) into the formula: \( h=6.6975 + 1.2=7.8975m\).

Answer:

\( 7.9m\)