Can you plz translate all of this is English i dont understand ^-^-^-^
The characteristics of similar triangles, originally formulated by Euclid, are the building blocks of trigonometry. Euclid's theorems state if two angles of one triangle have the same measure as two angles of another triangle, then the two triangles are similar. Also, in similar triangles, angle measure and ratios of corresponding sides are preserved. Because all right triangles contain a 90° angle, all right triangles that contain another angle of equal measure must be similar. Therefore, the ratio of the corresponding sides of these triangles must be equal in value. These relationships lead to the trigonometric ratios. Lowercase Greek letters are usually used to name angle measures. It doesn't matter which letter is used, but two that are used quite often are alpha (α) and theta (θ).
Answer:
The answer in the attached figure
Step-by-step explanation:
we have

Using a graphing tool
see the attached figure
The answer in the attached figure
Answer:
Step-by-step explanation:
To do this there are many steps
Step 1: Turn the whole bathroom into a regular rectangle, so a 7.5x9.5 size bathroom or 71.25 sq ft.
Step 2: Figure out the area of the missing spaces
To do this you need to figure out the side lengths, so for the right tall side, its 7.5 and for the left its 6.5, there is a 4 and a 3, you take that and you can figure out the first spot in pink is .5x4=0.20 then the second one, you find the side length difference and thats the height (1) and then you know the width is 5 so 5x1=5 add those, 5+0.20= 5.20 and subtract that value from 71.25 to get her actual value, 66.05
I hope this helps, when i was writing the steps i decided it would be easier to write on the shape, so i am attaching that, I hope i helped you (:
Answer:
Angle of elevation at which the balloon must take off in order to avoid hitting the tree is 5 degrees
Step-by-step explanation:
Given:
The height of the tree = 65 foot
The distance between the tree and the spot from which the balloon is launched = 250 yards
To find:
The angle of elevation at which the balloon must take off in order to avoid hitting the tree = ?
Solution:
Converting the yards to feet
1 yards = 3 feet
250 yards = 3 x 250 = 750 yards
Refer the below figure, The angle x is the angle of elevation at which the the ball must be thrown so that it does not Hit the tree

Substituting the values




