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

Make x the subject

This gives

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

Make h the subject

This gives

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

Make h the subject

This gives

Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
brainly.com/question/6241673
Answer:
Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
<u>Corresponding angles sum to 180</u>
- (2x - 10) + (4x + 16) = 180
- 6x + 6 = 180
- 6x = 174
- x = 174/6
- x = 29
Form the union for the following sets. E = {1, 2, 3} F = {101, 102, 103, 104} E ∪ F ={1, 2, 3, 101, 102, 103, 104}
Yanka [14]
<span>E = {1, 2, 3}
F = {101, 102, 103, 104}
answer
E ∪ F ={1, 2, 3, 101, 102, 103, 104}</span>
For problem 17 it's like a mirror, try to reflect it the same units carefully far apart from zero 0,0 with the x so it will be down from the original triangle, for A(1,6) it's 6 units up so u do the opposite having A be (1,-6), B(7,5) to B(7, -5), and finally C(6,8) to C(6,-8).