20 points PLEASE HELP ASAP!!!!!!! The shorter base of isosceles trapezoid is 6 cm. The altitude is 10 cm. The acute angle of the trapezoid is 63º. Find the longer base.

Respuesta :

Answer:

The answer to your question is:   49.24 cm

Step-by-step explanation:

Data

short base = 6 cm

height = 10 cm

∠ = 63°

Process

tan Ф = opposite side / adjacent side

adjacent side = opposite side / tan Ф

adjacent side = 10 tan 63

adjacent side = 19.62 cm

longer base = 19.62 + 10 + 19.62

longer base = 49.24 cm