Question

Question
1
Question
2
feet
A)
Ameerah is placing a 12-foot ladder against the house. The ladder makes a 68-degree angle with theground. How far is the base of the ladder from the house? Enter your response as a decimal. Round tothe nearest tenth.
(1 point)
Option #
A)
If Janelle is on the ground and looking at birds at the top of a tree, Janelle’s line of sight will form whatkind of angle with the ground?
Option #1: depression
Option #2: elevation
(1 point)
Question
3
The length of the ramp is Option #
.
A)
Fatima and Tia are loading a refrigerator into the back of a truck. They know they need the ramp tomake a 50-degree angle with the ground to reach the truck bed, which is 42 inches from the ground.How long is the ramp?
Option #1:
Option #2:
Option #3:
Option #4:
(1 point)
sin 50° = = 55 inches 42
x
cos 50° = = 48 inches 42
x
sin 42° = = 63 inches x
42
cos 42° = = 62 inches 42
x
Question
4
inches
A)
Use the image to answer the question.
For an art project, Della is cutting four equal triangles from a square piece of colored paper by cuttingalong the two diagonals of the square. She then creates a rhombus by gluing the four triangles in themanner shown in the image. Given that the side length of the original square is 4 inches, apply thePythagorean Theorem to find
x
, the side length of the rhombus. Round the answer to two decimalplaces.
(1 point)
x =
Question
5
feet
A)
Use the image to answer the question.
A plane is taking off at a 15° angle from a horizontal runway. When the altitude of the plane is 250 feet,apply trigonometric functions and the Pythagorean Theorem to find
x
, the horizontal distance the planehas flown. Round the answer to the nearest whole number.
(1 point)
x =

Answer 1

1) Base distance = 12 cos 68° = 12(0.3746) ≈ 4.5 feet.

2) Angle of elevation.

3) Ramp length x: sin 50° = 42/x ⇒ x = 42 / sin 50° ≈ 42 / 0.7660 ≈ 54.8 inches.

4) x = 2√2 ≈ 2.83 inches (rounded to two decimals).

5) Horizontal distance x = 250 / tan 15° ≈ 250 / 0.26795 ≈ 933 feet.