Q:

HELP!!!!! 35 POINTS ASAP!!!!!!!!!!!Tension wires are attached from the top of a festival sign to the ground, 3meters from the base of the sign. The angle of depression from the top of the sign to the point where one of the tension wires is attached to the ground is 28°. How tall is the sign? Round to the nearest tenth.The sign is __________ meters tall

Accepted Solution

A:
Answer:1.6 mStep-by-step explanation:The side of the sign, the ground, and the wire form a right triangle where the wire is the hypotenuse.The angle of depression plus the upper interior angle of the triangle add to 90 degrees. That means that the upper acute angle of the triangle measures 90 - 28 = 62 deg.Call the upper acute angle of the triangle Angle A and the height of the sign h.tan A = opp/adjtan 62 = 3/hh tan 62 = 3h = 3/tan 62h = 1.6Answer: 1.6 m