<h2>
The value of x "option A) 12.5" is required answer.</h2>
Step-by-step explanation:
In given figure,
Base (b) = 11 and Angle = 28°
To find, the value of x = ?
We know that,

Where, h is the hypotaneous = x
⇒ 
⇒ 
The value of
= 0.8829
⇒ x =
⇒ x = 12.458
⇒ x ≈ 12.5
∴ The value of x ≈ 12.5
Thus, the value of x "option A) 12.5" is required answer.
The other person
is right
Answer:
Rode most in May, 133.2 miles
Rode least in March, 16.65
133.2 - 16.65 = 116.55
8 x farther
Step-by-step explanation:
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.