Answer: The height of the building is 41.2 ft
Step-by-step explanation:
Here we want to find the height of the building.
To do so, the first step is to find the horizontal distance between the student and the car/bird (which represents the common cathetus between the two triangle rectangles).
For the top triangle rectangle, we know one cathetus and the hypotenuse, and we can use the Pythagorean's theorem to find the other cathetus.
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse.
Then we have:
20^2 + B^2 = 25^2
B^2 = 25^2 - 20^2
B = √( 25^2 - 20^2) = 15
Then the horizontal distance between the student and the car is 15ft, and we also know the angle at which this cathetus is adjacent, the angle is 70°.
Then we can use the relationship:
Tan(A) = (opposite cathetus)/(adjacent cathetus)
Where the opposite cathetus woud be the height of the building, then:
Tan(70°) = H/15ft
Tan(70°)*15ft = H = 41.2 ft
Yes...
<span> 3(x+2)...using distributive property...
= 3x + 6</span>
Answer:
m=4b and b=4m
Step-by-step explanation:
this is the right answer
Last ones in each row
Step-by-step explanation:
count which figure has 18 cubes
First has 12
2nd one has 24
3rd one has 27
4th one has 18
5th one has 18