9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the scr
een, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.
1 answer:
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Answer:
Step-by-step explanation:
1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,
Length of the diagonal =
=
= 25√2
AC ≈ 35.56 units
2). Since, diagonal of a square is the angle bisector of interior angles of the square,
m∠CAB = 45°
By applying sine rule in ΔABC,
sin(45°) =
AC = 25√2
AC ≈ 35.56 units
Given:
The expressions are:
and
To find:
The difference of and
.
Solution:
Difference of and
is written as:
On simplification, we get
Therefore, the difference of and
is
.