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Oksi-84 [34.3K]

3 years ago

10

From a boat on the lake, the angle of elevation to the top of a cliff is 24°19 If the base of the cliff is 2994 feet from the bo

at, how high is the cliff (to the nearest foot)?
a.
1356 ft
c.
1353 ft
b.
1363 ft
d.
1366 ft

1 answer:

loris [4]3 years ago

6 0

Answer:

Answer is C 1353

Step-by-step explanation:

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Work out the size of one of the exterior angles

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<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>

⠀

A polygon with 10 sides ( Decagon )

⠀

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

⠀

The value of one of the exterior angles

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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

$\qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star$

⠀

<u>Solution</u><u> </u><u>:</u><u>-</u>

⠀

Putting the given values, we get,

⠀

$\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\$

Thus, the value of the exterior angles of a Decagon is 36°.

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$\underline{ \rule{227pt}{2pt}} \\ \\$

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