Mathematics

Problem

A vertical flag-staff

OT

6\,\text{m}

high. Two steel wires of equal length are fixed from the top

T

to points

P

and

Q

on level ground on opposite sides of the foot

O

of the staff. The distance between the pegs is

PQ = 8\,\text{m}

. a. (a) Prove that

\triangle OTP \cong \triangle OTQ

. b. (b) Find the distances

OP

and

OQ

. c. (c) Calculate the length of each steel wire.