Latoya and her dad are vacationing in New York. While taking a picture of the Statue of Liberty, she noticed her dad’s head was
directly at the top of the torch. She knew that the statue was 305 feet tall, so she wondered how far away her dad was from the base of the statue. Using the measurements below, find the distance from the base of the statue to her dad's feet. Set up a proportion, show all work.
1 answer:
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Minus both sides by 2m
Minus both sides by k
Divided both sides by 7
Minus both sides by k
Divided both sides by 7
Check the picture below.
we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.
if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.
Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.
