From a point T on a horizontal ground, the angle of elevation of the top R of a tower RS, 38m high is 63.

Calculate, correct to the nearest meter, the distance

between T and S

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms  a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R.  The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

i can't see the picture : /