x = how high the kite is
x = 24 × tan(58)
x is approximately 38 meters
Set up a proportion and cross multiply.
Mathematical sentences can be combined with or or and to make compound sentences. True False
2 answers:
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Given:
To find:
The value of x and measure of angle A
Solution:
Alternate interior angle theorem:
If two parallel lines cut by a transversal, then the alternate interior angles are congruent.
⇒ m∠A = m∠B
Add 18° on both sides.
Subtract 3x from both sides.
Divide by 2 on both sides.
⇒ x = 30°
Substitute x = 30° in ∠A.
m∠A = 5x - 18°
= 5(30°) - 18°
= 150° - 18°
= 132°
The measure of ∠A is 132°.