Question

find the height of flagpole which casts a shadow of 9.3m when sun makes and angle to the horizontal

​

Answer 1

Answer:

Step-by-step explanation:

24.57 cm is your answer

Answer 2

Step-by-step explanation:

The tree's shadow (AB) is

9.3 meters

long.

From the location B, the sun is at an angle of is

43

∘

.

Our objective is to find the height of the tree (AC)

We are given angle

43

∘

.

Side opposite to this angle is

A

C

, which is the height of the tree.

Side adjacent to this angle is

A

B

The formula which connects these three known values is:

tan

(

∠

A

B

C

)

=

Opposite Side

/

Adjacent Side.

⇒

tan

(

43

∘

)

=

A

B

B

C

∴

A

B

=

tan

(

43

∘

)

⋅

B

C

Using the calculator,

tan

(

43

∘

)

≈

0.9325

So,

A

B

≈

(

0.9325

)

⋅

(

9.3

)

A

B

≈

8.67239

meters.

Hence, the tree is about

8.67 meters

tall.

Hope you find this solution useful.

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