Draw a right triangle on a piece of paper using sides 10 cm and 15 cm long. Firs

Question

Draw a right triangle on a piece of paper using sides 10 cm and 15 cm long.  First calculate each quantity using the 10 cm and 15 cm lengths of the sides.  Use the Pythagorean Theorem to calculate the hypotenuse.  Use the tangent function to calculate the angles.   Second, calculate the percent difference between the calculated and measured values.  

Hyptenuse calculated. =18.03

Angle adjacent the 10 cm side

Calculated ________________

Angle adjacent the 15 cm side

Calculated ________________

Show me the steps please.

Explanation / Answer

angle adjacent to 10cm side

tan(theta1) = 15/10 = 3/2

theta1 = 56.31 degrees

now angle adjacent to 15cm side is

theta2 = 180-90-theta1 = 90 - 56.31 = 33.69

percent difference between calculated n measured

for theta1 = 56.31-56/56.31 * 100 = 55.05%

for theta 2 = 34-33.69/33.69 * 100 = 92.02%

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