SOH CAH TOA tells you the sine function of an angle gives the ratio of opposite side to the hypotenuse of the right triangle.
Sin = Opposite/Hypotenuse
In this problem, the angle is 15°, the hypotenuse is 3000 m and we want to find the length of the opposite side (the height above the ground).
sin(30°) = height/(3000 m)
Multiplying by 3000 m, we get
height = (3000 m)*sin(30°) = 1500 m
The height of the plane at that instant is ...
1500 m
Answer:
a) Option A is correct.
b) Option C is correct.
Step-by-step explanation:
a) Which of the following is the equation of the line passing through the points (1, 1) and (-3,5)?
We will use the equation
(y-y₁)=m(x-x₁)
m= (y₂-y₁)/(x₂-x₁)
m= (5-1)/(-3-1)
m= 4/-4
m= -1
Consider point (1,1) and Putting value of m
(y-y₁)=m(x-x₁)
(y-1)=1(x-1)
y-1=x-1
y=x-1+1
y=x
So, Option A is correct.
b) Which of the following is the equation of a line with a slope of 0 passing through (2,5)?
The formula used is:
y= mx+b
Finding b:
5=0(2)+b
=> b = 5
So, equation is:
y = mx+b
y=0x+5
y=5
So, Option C is correct.
Answer:320
Step-by-step explanation:
Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
Answer:
ΔABC is not a right- angled triangle
Step-by-step explanation:
Given AB = 8, BC = 5
Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm
Using the converse of Pythagoras' identity
If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.
AC² = 9² = 81
AB² + BC² = 8² + 5² = 64 + 25 = 89
81 ≠ 89, hence ΔABC is not right- angled
