3 years ago

(18 POINTS) SHOW WORK!!!

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

5 0

Answer:

x ≈ 6.2 feet

Step-by-step explanation:

For this problem you are going to want to use the tangent ratio.

Tangent = opposite / adjacent

Set it up like so:

Tan(58) = 10 / x

x · Tan(58) = 10

x = 10 / Tan(58)

x ≈ 6.2

Lady bird [3.3K]3 years ago

3 0

Tan(58)=10/x
x=10/tan(58)
x= 6.2

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In circle pp, ad¯¯¯¯¯ad¯ is a diameter and bc¯¯¯¯¯bc¯ is perpendicular to ad¯¯¯¯¯ad¯ at ee. if pd=7pd=7 and ae=4ae=4, find cece.

kvv77 [185]

See the attached figure.

<span>ad is a diameter of the circle with center p
</span>
∵ pd = radius = 7 ⇒⇒⇒ ∴ ad = 2 * radius = 2 * 7 = 14
∵ ae = 4 ⇒⇒⇒ ∴ ed = ad - ae = 14 - 4 = 10
∵ ad is a diameter
Δ acd is a triangle drawn in a half circle
∴ Δ acd is a right triangle at c
∵ bc ⊥ ad at point e
By applying euclid's theorem inside Δ acd
∴ ce² = ae * ed
∴ ce² = 4 * 10 = 40
∴ ce = √40 = 2√10 ≈ 6.325