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:
[tex]\tan \text{ 67}\degree\text{ = }\frac{opposite}{\text{adjacent}}[/tex]
opposite = 903 ft
adjacent = horizontal distance from the base of the skycrapper to the ship = x
[tex]\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}[/tex][tex]\begin{gathered} x\text{ = }\frac{903}{2.3559} \\ x\text{ = 383.29} \end{gathered}[/tex]
To the nerest hundredth, the horizontal distance from the base of the skycrapper to the ship is 383.30ft
