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=(h)/(1384) \\ h=tan25.2*1384 \\ =0.471*1384 \\ =651.26096 \end{gathered}`

ANSWER

`651.26ft`