A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°

Respuesta :

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

[tex] tan y = \frac{x}{y} [/tex]

Solve for y:

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

[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]

Angle of depression = 67°

Ver imagen Chrisnando

Answer:

67 degrees

Step-by-step explanation: