The horizontal distance from the base of the skyscraper to the ship is 870 feet.
Data;
- Angle of Depression = 45°
- Observation Deck = 870 feet
<h3>Horizontal Distance </h3>
To calculate the horizontal distance from the base of the skyscraper, we can use trigonometric ratio SOHCAHTOA here;
Since we have the value of angle and opposite, we can calculate the adjacent using tangent of the angle.
Let's substitute the values and solve
The horizontal distance from the base of the skyscraper to the ship is 870 feet.
Learn more on trigonometric ratio here;
brainly.com/question/11967894
Since it is an isos. triangle we know that both sides are equal
Let's let the base=b and the legs =L
We know that B=L-4
And L-4+L+L=23
3L-4=23
3L=27
L=9
Hope this helps! :)
Let me know if you have any questions!
Answer:
32 pi
Step-by-step explanation:
im sorry if im wrong im not the smartest haha
Answer:
(3,2)
Step-by-step explanation:
2x-4=y
2y+3x=13
We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation
2(2x-4) +3x=13 : *distribute*
4x-8+3x=13 : *combine like terms*
7x-8=13 * add the 8 to the other side*
7x=21 *divide*
x=3
So the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3 we plug it into the other equation preferably.
2(3)-4 =y : 6-4=y : 2=y
We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.
2x-4=y 2(3)-4=(2) 2=2
2y+3x=13 2(2)+3(3)=13 13=13