In a lateral face of a regular square pyramid, an altitude is drawn from a base vertex to the opposite lateral edge contained by the same face. The angle formed by this altitude and the base edge of the same lateral face is 20°. Find the surface area of the pyramid if the base edge is 7 cm long. Round your answer to the nearest cm². A B M cm 2 K C N

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.3: The Tangent Ratio And Other Ratios
Problem 48E
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In a lateral face of a regular square pyramid, an
altitude is drawn from a base vertex to the
opposite lateral edge contained by the same face.
The angle formed by this altitude and the base
edge of the same lateral face is 20°. Find the
surface area of the pyramid if the base edge is 7
cm long. Round your answer to the nearest cm².
A
B
M
cm
2
K
C
N
Transcribed Image Text:In a lateral face of a regular square pyramid, an altitude is drawn from a base vertex to the opposite lateral edge contained by the same face. The angle formed by this altitude and the base edge of the same lateral face is 20°. Find the surface area of the pyramid if the base edge is 7 cm long. Round your answer to the nearest cm². A B M cm 2 K C N
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