Question

3. From a boat on the lake, the angle of elevation to the top of a cliff is 25.2°. If the base of the cliff is 1384 ft from the boat, how high is the cliff? Round results to an appropriate number of significant digits.

Answer 1

$\begin{gathered} \theta=25.2 \\ d=1384 \end{gathered}$

Using trig function Tan to get the height of the cliff;

$\begin{gathered} \tan25.2=\frac{h}{1384} \\ h=tan25.2\times1384 \\ =0.471\times1384 \\ =651.26096 \end{gathered}$

ANSWER

$651.26ft$