Applying trigonometric ratios

Solve the right triangle.

• <B = 39^o, AB = 11.58, AC = 7.29
• <B = 39^o, AB = 7.29, AC = 11.58
• <B = 129^o, AB = 11.58, AC = 7.29
• <B = 129^o, AB = 7.29, AC = 11.58

Which expression is correct for "y"?

• y = tan^–1(31/23)

• y = sin^–1(31/23)

• y = cos^–1(31/23)

What is the size of angle x? (Give your answer to 1 decimal place.)

What is the correct equation to solve for x ?

• tan (58) = x/11

• tan (58) = 11/x

• cos (58) = x/11

• sin (58) = x/11

Find the exact value of h (rounded to 3 decimals)

• 613.718

• 614.720

• 614.718

• 613.720

Answer explanation

To find h, you do the sin 26 = h/1400 then you multiply 1400 on both sides to get 1400 * sin 26 = h

The equation represents the height of a passenger on a Ferris wheel (in feet) as a function of time (in seconds)

 $h=42+29\sin\left(15t\right)$  
When the wheel rotates 150 degrees the height of the passenger will be 56.5 feet above the ground.  At what other angle (between 0 and 360 degrees) will the passenger also be 56.5 feet above the ground?

• 30 degrees

• 210 degrees

• 75 degrees

• 315 degrees

Solve for the indicated angle to the nearest whole number.

• 35

• 46

• 44

• 55

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

An airplane takes off 200 yards in front of a 60 foot building. At what angle must the plane take off from the ground in order to avoid crashing into the building?

• 73.30

• 5.71

• 17.46

• 21.84

What is the helicopter's altitude?

• 351 ft
• 674 ft
• 751 ft
• 274 ft