The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
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Answer:
Step-by-step explanation:
A complex number is a number which has some real part and some imaginary part.
Standard form of a complex number is represented as
Where 
is the real part,
and 
is the imaginary part.
And 
Given complex number:
Hence, the standard form is .
Answer:
Change in height of the parasail after 5 minutes = 79.8 feet.
Explanation:
Change in height = Absolute value of the differences of the initial height and final height.
Initial height of parasail = 200.6 feet.
Final height parasail = 120.8 feet.
Change in height of the parasail = 200.6 - 120.8 = 79.8 feet.
Change in height of the parasail after 5 minutes = 79.8 feet.
To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.
For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.
Simplify by evaluating the coefficients and powers 3
Step-by-step explanation:
