Answer:
<em>x = 437.3 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.
We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.
Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:
Solving for x:
Calculating:
x = 437.3 ft
Answer:
1/7
Step-by-step explanation:
so 1/5 divided by 7/5 is 1/5 times 5/7, which is 1/7
Add numbers with common factors (the 5y and the 16y), subtract 17 from both sides
Answer:
Step-by-step explanation:
We can find the side of the hypotenuse by applying pythagorean theorem.
Now we can apply pythagorean theorem on the other triangle
Answer:
<h3>-9</h3>
Step-by-step explanation:
Given the following angles;
m ∠ GHI = 173°
m ∠ GHQ = 29 + x
m ∠ QHI = x + 162
The following expression is true for the three angles;
m ∠ GHI = m ∠ GHQ+ m ∠ QHI
substitute the given values into the formula and calculate x
173 = 29+x+x+162
173 = 29+162+2x
173 = 191+2x
2x = 173 - 191
2x = -18
x = -18/2
x = -9
Hence the value of x is -9
