Aaron needs to string a bridge line across the river from point A to point B. What must the length of the bridge line be, given his measurements of 5.5m and 67 degrees
Answers
Answer:
Aaron ko bolo ki vo kisi insaan ki help lele
Answer:
The height of the flagpole is approximately
60
feet.
Explanation:
Always try to draw a diagram.
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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