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Trigonometry

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Moderate

Triangle, Area, Pyramid, Isosceles, Law of Sines

TRIG-SSJL1N

James Gunnin Created for Albert.io. Copyright 2016. All rights reserved

We are given the exploded (net) view of the regular pyramid with a square base of 6 units and each of the triangular faces are isosceles and congruent. We are also told that the base angle of each of the triangular faces is ${70}^{o}$.

What is the surface area of the pyramid (round to the nearest tenth of a unit)?

A

$154.0\; { \text{units} }^{ 2 }$

B

$165.2\; { \text{units} }^{ 2 }$

C

$134.8\; { \text{units} }^{ 2 } $

D

$150.8\; { \text{units} }^{ 2 }$