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Dmitrij [34]
3 years ago
12

In DEF,the measure of F=90, FD=75 feet, and EF=95 feet. Find the measure of D to the nearest tenth of a degree

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer:

The found angle D is:

D = 51.7°

Step-by-step explanation:

We have a right angle triangle with the right angle at F.

The given right angle triangle is shown in the diagram below.

EF = 95ft ⇒ Perpendicular of the triangle

FD = 75 ft ⇒ Base of the triangle

We have to find angle D.

Lets find angle D by using tan.

We know that

tan D = Perpendicular of the triangle / Base of the triangle

tan D = 95/75

D = tan⁻¹ (95/75)

D = 51.70983°

Rounding off the found angle to nearest 10th of a degree.

D = 51.7°

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Answer: 74.8%

This answer is approximate.
The value is rounded to the nearest tenth of a percent.

==========================================

Explanation:

Let,
X = area of the larger circle
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The goal is to compute the ratio Z/X to get the answer we want

Let's find area of the larger circle
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Now repeat for the smaller circle
A = pi*r^2
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Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
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Z/X = 0.74812 which is approximate

Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%

Then round this to one decimal place
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Step-by-step explanation:

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