Homework PracticeSign Up
Back to assignmentPrintable assignment view
Print options

Homework Practice

Printable assignment

Heights and Distances Practice 3: Two Observations and Checks

Section A: Reasoning

Question 1mcq
Which choice best checks the skill: handle opposite-side observations?
A.Ignore the horizontal line of sight
B.Use the hypotenuse as height every time
C.Choose a formula before identifying known sides
D.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
Question 2mcq
Which choice best checks the skill: use 30°, 45° and 60° values?
A.Use the hypotenuse as height every time
B.Choose a formula before identifying known sides
C.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
D.Ignore the horizontal line of sight
Question 3mcq
Which choice best checks the skill: check reasonableness of height-distance answers?
A.Choose a formula before identifying known sides
B.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
C.Ignore the horizontal line of sight
D.Use the hypotenuse as height every time
Question 4mcq
Which choice best checks the skill: avoid elevation-depression diagram errors?
A.Draw or choose a right-triangle model, then use the correct angle, side and unit information.
B.Ignore the horizontal line of sight
C.Use the hypotenuse as height every time
D.Choose a formula before identifying known sides
Question 5mcq
In a second review item, a student looking up from the ground to the top of a tower forms which angle with the horizontal line through the eye?
A.Angle of depression
B.Right angle only
C.Angle at the top of the tower
D.Angle of elevation

Section B: Mixed Practice

Question 6mcq
In a second review item, from the top of a lighthouse, an observer looks down at a boat. The angle made with the horizontal through the observer is called:
A.Central angle
B.Angle of rotation
C.Angle of depression
D.Angle of elevation
Question 7mcq
In a second review item, a 20 m tree casts a shadow, and the angle of elevation of the sun is 45∘45^\circ. Which diagram model is most appropriate?
A.A triangle with the shadow as hypotenuse
B.A right triangle with tree as vertical height and shadow as horizontal base
C.A circle with the tree as radius
D.Two unrelated right triangles
Question 8mcq
In a second review item, a tower height is unknown, the horizontal distance from its foot is known, and the angle of elevation is given. Which ratio is usually most direct?
A.tan⁡θ=heightdistance\tan\theta=\frac{\text{height}}{\text{distance}}
B.sin⁡θ=distanceheight\sin\theta=\frac{\text{distance}}{\text{height}}
C.cos⁡θ=heightdistance\cos\theta=\frac{\text{height}}{\text{distance}}
D.sec⁡θ=heighthypotenuse\sec\theta=\frac{\text{height}}{\text{hypotenuse}}
Question 9mcq
From a point 18 m away, the angle of elevation of a pole is 60∘60^\circ. Find the height.
A.1818 m
B.18218\sqrt2 m
C.3636 m
D.18318\sqrt3 m
Question 10mcq
A tower is 1010 m high and the angle of elevation is 60∘60^\circ. Find the horizontal distance.
A.2020 m
B.10310\sqrt3 m
C.103\frac{10}{\sqrt3} m
D.1010 m