queenmarie2k01 queenmarie2k01
  • 19-12-2019
  • Mathematics
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I need help for my homework!!

I need help for my homework class=

Respuesta :

C1042
C1042 C1042
  • 19-12-2019

Answer:

The answer is 4.8cm³

Step-by-step explanation:

First, you have to find the length of BC using trigonometric identities :

sinθ = oppo/hypo

cosθ = adj/hypo

tanθ = oppo/adj

Given that ∠BAC = 45° so you can use tanθ to find length of AB :

tan45° = BC/3.6

BC = 3.6×(tan45°)

= 3.6cm

Now, find the volume of pyramid using V = (1/3)×base area×h :

h = BC = 3.6cm

base area = 2×2

= 4cm²

V = (1/3)×4×3.6

= 4.8cm³

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