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A 6m long ladder leans against a building.the ladder makes an 59° with the ground

give the right answer and the explanation plss​

1 Answer

0 votes

Answer:

5.143m

Explanation:

Since we are not asked what to find, we can find the height of the building

Given

Length of ladder (hypotenuse) = 6m

angle of elevation = 59°

Required

Height of building H (opposite)

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 59 = H/6

H = 6sin59

H = 6(0.85716)

H =5.143

Hence the height of the building is 5.143m

User Btbenjamin
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