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Stells [14]
3 years ago
13

a flagpole cast a shadow 25 meters long when the angle of elevation of the sun is 40 how tall is the flag pole to the nearest me

ter
Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:12.59

Step-by-step explanation:

enter image source here

From the diagram you can see that we have constructed a right triangle, with height A and base 15.

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is

40

∘

. Using this angle and the tangent ratio, we can find A.

tan

(

40

∘

)

=

opposite

adjacent

=

A

15

∴

tan

(

40

∘

)

=

A

15

Rearranging:

A

=

15

tan

(

40

∘

)

By calculator:

A

=

12.59

feet. ( 2 d.p.)

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