a woman standing at position a finds that the angle of elevation to the top of a 260 m high tower is 35 degrees. upon walking to position B which is closer to the tower she finds that the angle has become 52 degrees. find the distance that the women walked in between making the observations

Question

Lily Murillo

Mathematics

17 August, 08:56

a woman standing at position a finds that the angle of elevation to the top of a 260 m high tower is 35 degrees. upon walking to position B which is closer to the tower she finds that the angle has become 52 degrees. find the distance that the women walked in between making the observations

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Answers (1)

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Phoebe Jacobs · Answer 1

168.2 m

Step-by-step explanation:

total distance:

tan (35) = 260/x

0.7=260/x

x=371.43

closer distance:

tan (52) = 260/y

1.28=260/y

y=203.13

walking distance:

371.43-203.23=168.2 m