The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where is the park bench from the building? round to the nearest whole number

547 m

Step-by-step explanation:

Given :

Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°

The height, h = 270

The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 63.7167 = d / 270

d = 270 * Tan 63.7167

d = 546.70459

d, distance of Park bench from building is 547 m

Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire song album = y dollars
Person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
Person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second we get
x = 0.99 dollars
Putting the value of x in the first equation we get
y = 12.96 - 3x
= 12.96 - 2.97
= 9.99 dollars