What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. x = ° A right triangle. The perpendicular is labeled as 15. The hypotenuse is labeled as 29. The angle made between base and perpendicular is labeled as right angle. The angle made between perpendicular and hypotenuse is labeled as x.
Answers
Answer:
Step-by-step explanation:
There is a right angle triangle
Perpendicular = 15
Hypotenuse = 29
Base ² = Hypotenuse² - Perpendicular²
=> base² = 29² - 15²
=> base² = 44 * 14
=> base = 24.82
x is the angle between Perpendicular & hypotenuse
then 90 - x is the angle between base & hypotenuse
Sin(90-x) = Perpedicular / Hypotenuse
=> Sin(90-x) = 15/29
=> 90-x = Sin⁻¹(15/29)
=> 90 -x = 31.147
=> x = 58.853
=> x = 58.85°
Answer:
x = cos⁻¹( 15/29 ) = 58.85°
Step-by-step explanation:
We know the value of the Hypotenuse = 29
We know the value of the Perpendicular = 15
According to general trigonometry,
cosine/cos(any angle) = (Perpendicular / Hypotenuse), therefore, this is a much simpler way to find out the angle in one step itself.
So we simply solve, cos x° = 15/29. Therefore, x = cos⁻¹ (15/29) = 58.85° , which is rounded to the nearest hundredth decimal place