meaganrose104 meaganrose104
  • 09-02-2021
  • Mathematics
contestada

Find a correct to 2 decimal places.
NOTE: The triangle is NOT drawn to scale.
102
27°
41°
х

Find a correct to 2 decimal places NOTE The triangle is NOT drawn to scale 102 27 41 х class=

Respuesta :

reeserl reeserl
  • 09-02-2021

Answer:

317.52

Step-by-step explanation:

Label the point where the altitude meets the base P and the end points of the base A and B where m∠A = 27 and m∠B = 41

tan 27 = 102/AP    and tan 41 = 102/PB

APtan 27 = 102            PBtan 41 = 102

AP = 102/tan 27                 PB =  102/tan 41

AP = 200.186                     PB = 117.338

x = AP + PB = 200.186 + 117.338 = 317.52

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