Question

Answer the following question below.

Answer 1

30

Explanation:

Angle = 67°

To solve the question, we will use an illustration:

To get the horizontal distance from the base of the skycrapper to the ship, we will apply tangent ratio:

$\tan \text{ 67}\degree\text{ = }\frac{opposite}{\text{adjacent}}$

opposite = 903 ft

adjacent = horizontal distance from the base of the skycrapper to the ship = x

$\begin{gathered} \tan \text{ }67\degree\text{ = }\frac{903}{x} \\ \text{cross multiply:} \\ x(\tan \text{ }67\degree)\text{ = 903} \\ x\text{ = }\frac{903}{\tan 67\degree} \end{gathered}$$\begin{gathered} x\text{ = }\frac{903}{2.3559} \\ x\text{ = 383.29} \end{gathered}$

To the nerest hundredth, the horizontal distance from the base of the skycrapper to the ship is 383.30ft