Question

Weapon of math destruction trig. day 1

Answer 1

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.

Question 1

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

Question 2

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

Question 3

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