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Katarina [22]
3 years ago
6

Weapon of math destruction trig. day 1

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

The questions are illustrations of trigonometry ratios and right triangles

  • The value of x is 11.8310
  • The tree is 23.3154 feet tall
  • The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

\sin(25) =\frac{5}{x}

Make x the subject

x =\frac{5}{\sin(25)}

This gives

x =11.8310

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

\tan(25) =\frac{h}{50}

Make h the subject

h = 50 \times \tan(25)

This gives

h = 23.3154

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

\tan(37) =\frac{h}{500}

Make h the subject

h = 500 \times \tan(37)

This gives

h = 376.7770

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

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