|
1 | | If a, b, and c represent the sides of a right triangle, which of the following could be a correct representation of the Pythagorean Theorem? |
| | A) | a2 + b2 = c2 |
| | B) | a + b = c |
| | C) | a3 + b3 = c3 |
| | D) | (1.0K) |
|
|
|
2 | | Which of the following is the correct definition of the sine ratio? |
| | A) | (3.0K)
|
| | B) | (2.0K)
|
| | C) | (3.0K)
|
| | D) | (2.0K)
|
|
|
|
3 | | If cos A = 0.2355, find the measure of angle A to the nearest degree. |
| | A) | 76.4o |
| | B) | 76o |
| | C) | 1o |
| | D) | 14o |
|
|
|
4 | | Find the length of the unknown side in the triangle shown. (4.0K) |
| | A) | 9.8 cm |
| | B) | 53 cm |
| | C) | 37 cm |
| | D) | 7 cm |
|
|
|
5 | | Find the length of the unkown side in the triangle shown. (3.0K) |
| | A) | 88.46 mm |
| | B) | 2.23 mm |
| | C) | 25 mm |
| | D) | 5 mm |
|
|
|
6 | | Find the measure of angle ABC in the triangle shown to the nearest degree. (6.0K) |
| | A) | 24o |
| | B) | 23o |
| | C) | 66o |
| | D) | 0.4o |
|
|
|
7 | | Find the measure of angle FDE in the triangle below to the nearest degree. (4.0K) |
| | A) | 34o |
| | B) | 2.2o |
| | C) | 90o |
| | D) | 66o |
|
|
|
8 | | Piotr is cleaning windows using a ladder. The bottom of the ladder, which is 10 m long, is 4.4 m from the base of the building. To the nearest degree, what angle does the ladder make with the ground? |
| | A) | 36o |
| | B) | 64o |
| | C) | 90o |
| | D) | 9o |
|
|
|
9 | | Jules is measuring the height of a mountain. He stands 0.5 km from the hypothetical “base” of the mountain and finds the angle of elevation to be 52o. (6.0K)
To the nearest metre, what is the height of the mountain? |
| | A) | 640 m |
| | B) | 394 m |
| | C) | 308 m |
| | D) | 1 m |
|
|
|
10 | | Standing at the top of a cliff on one side of a canyon, Astrid measures the angle of depression to the opposite side of the canyon to be 73o. If Astrid’s eyes are 54 m above the canyon floor, how far is it to the other side of the canyon, to the nearest metre? |
| | A) | 177 m |
| | B) | 56 m |
| | C) | 185 m |
| | D) | 17 m |
|
|