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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9 grams is 9000 milligrams.
Answer:
5.75 yds left
Step-by-step explanation:
1.25 yds per bag*5 bags =6.25 yds used
She had 12 yds
12-6.25 =5.75
She has 5.75 yds left
Answer:
Domain
Step-by-step explanation:
Input Values Form the Domain of the Function
Mathematicians call the set of all input values for a function its domain.