Pre-Calculus Benchmark #2 Review 2019

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?

• 9285.73 ft
• 96.36 ft
• 24061.81 ft
• 155.12 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Clint is building a wooden swing set for his children.  Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle.  To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings.  How far apart should the footings for each A-frame be?

• 5.461 feet
• 9.743 feet
• 6 feet
• 7.65 feet

Tags

CCSS.8.G.B.8

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23
• 23.19
• 22.15
• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

On a map, Orlando is 178 millimeters due south of Niagara Falls, Denver is 273 millimeters from Orlando and 235 millimeters from Niagara Falls. Find the bearing of Denver from Orlando.

• 58 degrees

• Not me

• IDK

• 25 degrees

Tags

CCSS.HSG.SRT.C.8

A ladder is leaning against a wall. The building is 95 feet tall. The angle of elevation between the ground and ladder is 56^o. How long is the ladder?

• 114.6 feet

• 78.6 feet

• 36.1 feet

• 124.1 feet

Tags

CCSS.HSG.SRT.C.8

• 12π cm

• 27π cm

• 12 cm

• 27 cm

Tags

CCSS.HSG.C.B.5

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Tags

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.1

What is the length of the arc from Tasha's dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40 ft

• 35 ft

• 55 ft

• 69 ft

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5
• 9
• 8
• 6

Tags

CCSS.HSG.C.B.5