Answer:
about 6.3 cm
Step-by-step explanation:
You want the height of an isosceles triangle with base 14 cm and base angle 42°.
Height
The right triangle(s) formed by the altitude have a base of 7 cm. Their height can be found using the tangent relation:
Tan = Opposite/Adjacent
The leg adjacent to the base angle is half the base length, so we can write ...
tan(42°) = height/(7 cm)
height = (7 cm)·tan(42°) ≈ 6.3 cm
The height of the triangle is about 6.3 cm.
