Answer:
Yes
Step-by-step explanation: If the inside of the ange is obtuse than it is acute
Answer:
x = 12
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
4x = 48 ( divide both sides by 4 )
x = 12
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
y + 82 = 10x is the answer.
