Chapter 7 and 8 Cumulative Review
Chapter
Chapter 8
Section
Chapter 7 and 8 Cumulative Review
Solutions 19 Videos Q1

Lucas is designing a flower garden in the shape of an isosceles right triangle. He has created a scale diagram. The lengths of the perpendicular sides in the scale diagram are 7 cm, and the hypotenuse of the real garden will be 3 m long. What is the area of the real garden?

A. 450 m^2

B. 2.25 m^2

C. 1033 m^2

D. 4.5 m^2

Q2 Q3 Q4 Q5 Q6

Leoislookingdown, from the roof of a building, at a dump truck that is parked on the road. The angle of depression to the front of the truck is 58°, and the building is 37 m tall. What is the distance between the base of the building and the front of the truck?

A. 41 m

B. 23 m

C. 59 m

D. 27 m

Q7 Q8 Q9

Steph is 117 cm tall, and her eyes are 106 cm off the ground. She is using her new binoculars to look at a bird that is perched in a tree.

The angle of elevation is 28°, and Stephanie is 25.0 m from the base of the tree. What is the height of the bird in the tree?

A. 13.3 m

B. 12.8 m

C. 23.1 m

D. 14.4 m

Q10

Greg and Kristen are on opposite ends of a zip line that crosses a gorge. Greg went across the gorge first, and he is now on a ledge that is 15 m above the bottom of the gorge. Kristen is at the top of a cliff that is 72 m above the bottom of the gorge. Jon is on the ground at the bottom of the gorge, below the zip line. He sees Kristen at a 65° angle of elevation and Greg at a 35° angle of elevation. What is the width of the gorge, to the nearest metre?

A. 165 m

B. 152 m

C. 55 m

D. 106 m

Q11

In \triangle ABC, \angle A = 56^o, \angle B = 64^o, and c = 6.0 cm. What is the length of side a?

A. 5.7 cm

B. 6.3 cm

C. 0.5 cm

D. 0.96 cm

Q12 Q13 Q14 Q15 Q16 Q17

An isosceles triangle has sides that measure 4 cm, 10 cm, and 10 cm. What is the area of the triangle?

A. 38 cm^2

B. 10 cm^2

C. 25 cm^2

D. 20 cm^2

Q18

A cyclist travels 4.50 km directly south, and then turns and travels 6.80 km in the direction N60°W. What distance, and in what direction, will the cyclist need to travel to get back to her starting point?

A. 5.00 km, N59.5°E

B. 6.00 km, N79.5°E

C. 5.00 km, N49.5°E

D. 4.00 km, N29.5°E