Answer
$150.7$ ft
Work Step by Step
Let $x$ be the distance from Journey's eyes to the top of the cliff.
Let $h$ be the height of the cliff.
$\cos37=\frac{200}{x}$
$x=\frac{200}{\cos37}$
$x\approx250.4$
$\sin37=\frac{h}{x}$
$\sin37\approx\frac{h}{250.4}$
$250.4\times\sin37\approx h$
$h\approx150.7$