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Musya8 [376]
3 years ago
11

In ΔBCD, the measure of ∠D=90°, the measure of ∠C=42°, and CD = 7.5 feet. Find the length of DB to the nearest tenth of a foot.

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

We have been given that in ΔBCD, the measure of ∠D=90°, the measure of ∠C=42°, and CD = 7.5 feet. We are asked to find the length of DB to nearest tenth of foot.

First of all, we will draw a right triangle using our given information.

We can see from the attachment that DB is opposite side to angle C and CD is adjacent side to angle.

We know that tangent relates opposite side of right triangle to adjacent side of right triangle.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(\angle C)=\frac{DB}{CD}

\text{tan}(42^{\circ})=\frac{DB}{7.5}

7.5\cdot\text{tan}(42^{\circ})=\frac{DB}{7.5}\cdot 7.5

7.5\cdot\text{tan}(42^{\circ})=DB

7.5\cdot0.900404044298=DB

DB=7.5\cdot0.900404044298

DB=6.753030332235\approx 6.8

Therefore, the length of DB is approximately 6.8 feet.

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Hope this helps

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3 years ago
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Joan pays 456.25 monthly on her mortgage. If her annual insurance premium is 1,560 and her annual real estate tax is 1,890, what
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The combined payment is 743.75.

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3 years ago
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riadik2000 [5.3K]

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2 years ago
A rectangular carpet has a perimeter of 274 inches. The length of the carpet is 95 inches more than the width. What are the dime
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Answer:

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Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

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