Trigonometry Recap

Find the missing side length in a right triangle where a ladder with a length of 3.048 meters is leaning against a wall, and the ladder makes an angle of 30 degrees with the ground. The ladder is placed 1.8288 meters away from the base of the wall.

• 1.2192 meters

• 2.1344 meters

• 2.4384 meters

• 1.524 meters

Tags

CCSS.HSG.SRT.C.8

Calculate the angle of elevation of a ladder leaning against a wall. The ladder is 5 meters long and the distance from the base of the ladder to the wall is 4 meters.

• The angle of elevation is 90 degrees

• The angle of elevation is 30 degrees

• The angle of elevation is 45 degrees

• The angle of elevation is approximately 53.13 degrees

Tags

CCSS.HSG.SRT.C.8

Calculate the length of the shadow cast by a 0.91-meter tall object when the sun is at a 37-degree angle. If the shadow is 1.52 meters long, what is the length of the adjacent side in the right triangle formed?

• 1.22 meters

• 2.44 meters

• 1.83 meters

• 0.61 meters

Tags

CCSS.HSG.SRT.C.8

Using trigonometry, determine the angle of elevation of a ladder leaning against a wall. The ladder is 7 meters long and the wall is 10 meters away from the base of the ladder.

• 32.56 degrees

• 50.21 degrees

• 60.78 degrees

• 44.43 degrees

Tags

CCSS.HSG.SRT.C.8

Calculate the length of the hypotenuse in a right triangle with an adjacent side of 8 meters and an opposite side of 15 meters using the cosine function.

• 20 meters

• 10 meters

• 17 meters

• 12 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the missing side length in a right triangle where a ladder with a length of 5.18 meters is leaning against a wall, and the ladder makes an angle of 30 degrees with the ground. What is the length of the distance from the base of the wall to the ladder?

• 15.00 meters

• 11.80 meters

• 6.25 meters

• 8.66 meters

Tags

CCSS.HSG.SRT.C.8

Calculate the angle of elevation of a ladder leaning against a wall if the ladder is 9 meters long and the foot of the ladder is 12 meters away from the wall.

• 45 degrees

• 36.87 degrees

• 60 degrees

• 53.13 degrees

Tags

CCSS.HSG.SRT.C.8

Calculate the height of a ladder leaning against a wall if the ladder is 3.9624 meters long and the distance from the base of the ladder to the wall is 1.524 meters.

• 4.572 meters

• 3.6576 meters

• 2.4384 meters

• 0.9144 meters

Tags

CCSS.8.G.B.8

Using tangent function, find the measure of angle A in a right triangle with a ladder leaning against a wall where the ladder is 3 meters tall and the distance from the base of the ladder to the wall is 4 meters.

• 36.87 degrees

• 45 degrees

• 60 degrees

• 53.13 degrees

Tags

CCSS.HSG.SRT.C.8

Calculate the distance a ladder will reach up a wall when the ladder is 3.6576 meters long and the base is 4.8768 meters away from the wall.

• 8.5344 meters

• 9.7536 meters

• 6.096 meters

• 7.3152 meters

Tags

CCSS.8.G.B.8