The height TH of the triangle is 5.73m
The height of the isosceles triangle can be calculated using Pythagorean theorem.
since The triangles is isosceles therefore line TH is the bisector of line UV.
Therefore UH = 15.4/2 = 7.7
Pythagoras theorem theorem mathematically states that;
c² = a² + b²
where c is the hypotenuse and a and b are the other two legs
Therefore;
TH = √ 9.6² - 7.7²
TH = √ 32.87
TH = 5.73m
Therefore The length TH is 5.73m