In order to strengthen the publicity of the Red Tourism Festival, it is necessary to hang a publicity banner from A to E in Building A. Measure the elevation of point A at the top of the banner at poi

In order to strengthen the publicity of the Red Tourism Festival, it is necessary to hang a publicity banner from A to E in Building A. Measure the elevation of point A at the top of the banner at point D at the top of Building B. 33. 1 m

Firstly, the figure is analyzed and a right triangle is constructed according to the meaning of the question. If D is regarded as DF⊥AE in F, in Rt△ADF and Rt△EDF, the values of AF and EF can be obtained according to the length of DF and the degree of known angle, and then the length of banner AE can be obtained from AE=AF+EF.

Solution: DF ⊥ AB with point D as point F;

In Rt△ADF, df = 30m, ∠ ADF = 30,

∴AF=DF×tan30 =

In Rt△EDF, df = 30m, ∠ EDF = 45,

∴ ef = df× tan 45 = 2 1m。

∴AE=AF+BF=

?

A: The length of the banner AE is about 33. 1 meter.