From the observation deck of a skyscraper, Christian measures a 51^{\circ}

angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Respuesta :

fichoh

Answer:

1394 feets

Step-by-step explanation:

The solution triangle is attached below :

The horizontal distabce from the base is denoted as d :

Using trigonometry, we can obtain d, thus ;

Tan θ = opposite / Adjacent

Tan 51 = d / 1129

d = tan 51 * 1129

d = 1394.1988 feets

d = 1394 feets

Ver imagen fichoh