A lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below:

Triangle ABC has measure of angle C equal to 50 degrees, measure of angle ABC equal to 90 degrees, and length of BC equal to 10 feet.

What is the height, in feet, of the portion AB of the lamppost?

10 divided by tan 50 degrees
10 divided by cos 50 degrees
10 cos 50°
10 tan 50°

The height of the portion AB is 10 divided by cos 50 degrees if the CAB, is bent at point A after a storm. The tip of the lamppost touched the ground at point C.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

From the right-angle triangle:

Let's suppose the height of the portion AB is x ft

We know cos is the ratio of the adjacent to the hypotenuse.

From the figure:

[tex]\rm cos50 = \dfrac{10}{x}[/tex]

[tex]\rm x = \dfrac{10}{cos50\°}[/tex] ft

Thus, the height of the portion AB is 10 divided by cos 50 degrees if the CAB, is bent at point A after a storm. The tip of the lamppost touched the ground at point C.

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Username78777go Username78777go · Answer 2

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Answer:

I believe the answer is 10 divided by tan 50 degrees

Step-by-step explanation:

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