The diagram shows an awning on the front of a building. the top of the awning makes a 40° angle with the building. the base of the awning is 8 feet from the building. what is the height of the awning? round to the nearest tenth if necessary.

Height of the awning = 9.52 feet

Step-by-step explanation:

For better understanding of the solution, see the attached diagram of the problem :

According to the figure, AB is the height of the awning

Now, the base of awning will be perpendicular to the building

⇒ m∠ABC = 90°

In ΔABC, By using angle sum property of a triangle

m∠ABC + m∠ACB + m∠BAC = 180°

⇒ m∠ACB = 50°

Hence, Height of the awning = 9.52 feet

a

step-by-step explanation:

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