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Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled
in the diagram below.
X
8 in
16.5
To the nearest tenth of an inch, what will be the length of the springboard, x?
27.0
b
28.2
ООО
8.3
d
2.3

Yolanda is making a springboard to use for gymnastics She has 8inchtall springs and wants to form a 165 angle with the base as modeled in the diagram below X 8 class=

Respuesta :

Answer: Hi! The answer is 28.2

Step-by-step explanation:

abidemiokin

The value of x from the given diagram is 28.3 in

SOH CAH TOA identity

From the diagram shown, we are given the following:

  • Opposite  = 8in
  • Hypotenuse = x
  • Angle of elevation = 16.5 degrees

To get the value of x, we will use the relatinship;

Sin theta = opp/hyp

Sin 16.5 = 8/x

x = 8/sin16.5

x = 8/0.2840

x = 28.16

x = 28.2in

Hence the value of x from the given diagram is 28.3 in

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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