For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
Answer:
108
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <4
33 + 75 = <4
108 = <4
Answer:
6738752.62
Step-by-step explanation:
1,455.8 x 4,628.9=6738752.62
Answer:
b
Step-by-step explanation:
cause I smart
11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
