Math, asked by Ekim, 8 hours ago

A flagpole is situated at the top of a building 120 ft tall. From a point in the same horizontal plane as the base of the building, the angles of elevation of the top and bottom of the flagpole are 73.2° and 67.2°, respectively. How tall is the flagpole?

(Please help me)​

Answers

Answered by rhianejoycelatsiv
2

Answer:

The height of the flagpole is approximately 60 feet.

Step-by-step explanation:

We know that there is a right angle between the ground and the building. Therefore, we can use the 3 basic trig ratios instead of the sine or cosine law to solve this problem.

Since the angle in the corner of the larger right triangle measures

42

˚

, the top angle in this triangle measures

180

˚

90

˚

42

˚

=

48

˚

.

By basic trig ratios, we can find the height of the building with the flag pole on top, call it

H

.

tan

42

˚

1

=

H

500

H

=

500

tan

42

˚

I would keep it in exact form until the last step.

We now devise an expression for the height of the building (without the flag pole). Call it

a

tan

38

˚

1

=

a

500

a

=

500

tan

38

˚

We can now state that

h

=

H

a

h

=

500

tan

42

˚

500

tan

38

˚

h

59.559

60

feet

Hopefully this helps!

Answered by rejakshi33
1

Answer:

what type of question is this

Step-by-step explanation:

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