The height of the teepee is 9.1651 feet.
Step-by-step explanation:
Step 1:
A right-angled triangle can be formed using the given information.
The length of the slanted sides represents the hypotenuse of the triangle. One of the other sides of this right-angled triangle measures 4 feet.
According to the Pythagorean theorem, the square of the hypotenuse is the sum of the squares of the other two sides.
Assume the other side measures a length of x feet.
Step 2:
According to the Pythagorean theorem,
The height of the teepee is 9.1651 feet.
Answer:
y = x
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use either of the 2 given points
Using (- 9, - 3), then
k = =
=
y = x ← equation of function
Answer:
B = 54°; a ≈ 1.86; b ≈ 4.19
Step-by-step explanation:
The remaining angle is ...
B = 180° -105° -21° = 54°
The law of sines tells you the side lengths are in proportion to the sines of the angles:
a = 5·sin(A)/sin(C) ≈ 1.86
b = 5·sin(B)/sin(C) ≈ 4.19
