Answer to Question #164875 in Trigonometry for Jankarlos

Question

From the top of a cliff, Tony Stark can see a boat on the ocean. The angle of depression is 41°. If Tony Stark uses his laser range finder and determines that the boat is 1.4 kilometers away, how high is the cliff?

Answer 1

$\sin 41^o = \dfrac{opposite}{hypotenuse}\\ \sin 41^o = \dfrac{h}{1.4km}\\ h = 1.4km \times sin 41^o\\ h = 1.4km \times 0.6561\\ h = 0.91854 km\\ \implies \bold {h = 918.54 metres}$