Question

Answer the following question below.

Answer 1

30

Step-by-step 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{ = }(903)/(x) \\ \text{cross multiply:} \\ x(\tan \text{ }67\degree)\text{ = 903} \\ x\text{ = }(903)/(\tan 67\degree) \end{gathered}`
`\begin{gathered} x\text{ = }(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