contestada

Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.

Find x the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore Round your answer class=

Respuesta :

Answer:

x = 8.1°

Step-by-step explanation:

Reference angle = x

Opposite side = 153 ft

Adjacent side = 1071 ft

Applying trigonometric ratio (TOA), we have:

[tex] tan(x) = \frac{opp}{adj} [/tex]

[tex] tan(x) = \frac{153}{1071} [/tex]

[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]

[tex] x = 8.1 degrees [/tex] (nearest tenth)