Question

(07.01 MC)
The picture shows a triangular island:
A right triangle is shown with an acute angle equal to 45 degrees. The length of the side of the triangle opposite to the acute
Which expression shows the value of c? (1 point)
Group of answer choices
b over tan 45 degrees
b over cos 45 degrees
a cos 45°
a tan 45°

Answer 1

Given :   The picture shows a triangular island:

A right triangle is shown with an acute angle equal to 45 degrees.

To Find :  The length of the side of the triangle opposite to the acute

Which expression shows the value of c  

 b / tan 45°

b / cos 45°

a cos 45°

 a tan 45°

Solution:

Base = b ,  Perpendicular = a

Hypotenuse = c

Cos angle = Base / hypotenuse

=> cos 45°  = b/ c

=> c  = b /  cos 45°

 tan 45°  = a / b

=> b = a  tan 45°            not c

and  b /   tan 45°   = a     not c  

correct answer is  c  = b /  cos 45°

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