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
<u><em>Answer: =1024. *The answer must be have positive sign.*</em></u>
Step-by-step explanation:
This question's it's about the order of operations. p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtract. It can also go left to right.
do exponents first.
16³/2=4098=2048¹/2
2048¹=2048
2048/2
divide left to right.
2048/2=1024
Hope this helps!
Thanks!
Have a great day!
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
The formula to use is A=(b1+b2)h if one base is 24 and the other one is 16 which equals to 40 when you add then you still have H which is 12 so you could either divide 12 by two to get half or multiply by 12 and then divide it
40•12=480
480 divided by 2= 240
Your final answer should be 240ft
Answer:
15 students
Step-by-step explanation:
No. of boys students = No. of all students - No. of girls
no. of boys =50-15 = 35 boys
the boys that will play the match are 2/7 of boys = (2/7)x35 = 10 boys
and the girls that will play the match are 5 girls
so, no of students chosen to play = 5+10=15 students
