STEP 1: Let F be the height of the flagpole and L be the height of the public library. Convert the angle 39° 45' into decimal form.
Use this value and an appropriate trigonometric function to find F + L, the total height of the library and flagpole.
STEP 2: Find the height of the library, L.
STEP 3: Subtract your result from Step 2 from your latter result in Step 1 to determine the height of the flagpole, F.
From a point x = 85 feet in front of a public library, the angles of elevation to the base of the flagpole and the top of the flagpole are θ = 33.5° and 39° 45', respectively. The flagpole is mounted on the front of the library's roof. Find the height of the flagpole.
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L = 85tan 33.5 and L+F = 85 tan 39.5 to find F ?
L = 85tan 33.5 and L+F = 85 tan 39.5 to find F ?
2 answers