Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
Step-by-step explanation:
sin A = 
Sin 29 = 
0.4848 * 500 = y
y = 242.4 ft
1.

add 5 to both sides

2.

subtract 2 from both sides

3.

add 2 to both sides

and it's the 4th graph option
4.

subtract 5 from both sides

and it's the 2nd graph option
5.

add 5 to both sides

Answers:
1. 3rd option
2. 1st option
3. 4th option
4. 2nd option
5. 2nd option
Hope this helps!
Answer:
<em>A = 48.81°</em>
Step-by-step explanation:
<u>Angles in a Right Triangle</u>
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

Using the inverse tangent funcion:

Calculating:
A = 48.81°