The picture below shows a portion of a river dam: a right angle triangle is shown with the measure of the acute angle at the tip equal to 65 degrees and length of base equal to 145 meters. which of the following can be used to calculate the height of the river dam?

Height of the Dam = 67.63 meters

Step-by-step explanation:

Watch the attached figure of the right angled triangle.

=65°

Opposite = BC = 145

Adjacent = Height of the Dam = AB

We know that,

tan=

1) Plugging in =65° and Opposite =145, we get

tan 65 =

2) Multiply both sides by AB, we get

3) Cancelling out the AB's on the right side, we get

4) Dividing both sides by tan 65, we have

5) Cancelling out the tan 65 's on the left side, we have

AB =

=> AB =  (since tan 65°=2.144)

Finally we get,

AB = 67.63

one that is bigger than 3 1/2

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step-by-step explanation: