182k views
5 votes
I need your help with this problem

I need your help with this problem-example-1

1 Answer

2 votes

Answer:

a) distance from plane to swimmer = 2127.66 m

b) distance from swimmer to point D = 1928.31 m

Explanation:

Given the question,

height at which the plane is = 900m

angle of depression = 25°

If we closely observe, the whole scene is making an right angle triangle

So, we can use trigonometry identities

a)

cosФ = BD / AB

cos (90-25) = 900 / AB

0.423 = 900 /AB

AB = 2127.66 m

b)

sinФ = AD/AB

sin(90-25) = AD /2127.66

AD = sin(90-25) x 2127.66

AD = 1928.31m

User Leypascua
by
6.1k points