Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
In this situation, the -$55 represents the debt of $55,
since this happens when Miguel does not have enough money in his account to
cover payments or transactions. On Thursday, he has a debt of more than $55. The
explanation behind this is if an account balance is less than -55 dollars, it exemplifies
a debt bigger than 55 dollars.
Answer:
The answer is D.
Step-by-step explanation:
Sci-Fi + Comedy = 60.
Other + Action = 59.
So, that makes it D.
Hope this helps. :)
Angles are undefined terms in plane geometry.
The true statements are:
- <em>4. </em><em>.</em>
- <em>5. </em><em />
- <em>6. </em><em> is an obtuse angle</em>
- <em>7. Its supplement must be an acute angle</em>
- <em>8. See attachment</em>
<em />
<u>Question 4</u>
The first statement is represented as:
Supplement of
means that A and B are congruent.
The supplementary of A and B would be the same
The measure of A is then calculated as:
Subtract 22 from both sides
<u>Question 5</u>
If LP and LQ are linear pairs, then:
So:
Substitute
Subtract 90 from both sides
<u>Question 6</u>
--- S and T are supplementary
--- T and U are complementary
Subtract both equations
Make U the subject
This means that:
Hence, is an obtuse angle
<u>Question 7</u>
Obtuse angles are greater than 90 degrees but less than 180.
This means that their supplement must be an acute angle (i.e. less than 90)
<u>Question 8</u>
See attachment
Read more about angles at:
brainly.com/question/13954458
20g³ + 24g²<span> - 15g - 18 =
(20g</span>³-15g)+(24g²-18<span>) =
5g(4g</span>²-3)+6(4g²-3<span>) =
(4g</span>²-3<span>)(5g+6)</span>