Maths Height and Distance Test 4: Mastering Trigonometric

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Maths Height and Distance Test 4: Mastering Trigonometric Applications in Real-Life

The calculation of height and distance during problem-solving involves numerous mathematical applications and is vital in many occupations like construction, and airplanes, and tests like ECAT, MCAT, and bank exams. Maths Height and Distance Test 4 at Nokryan.com to master the complexities of trigonometry and geometric applications with ease. So, whether you’re dealing with measuring heights, areas, or distances, this test will improve your problem-solving skills.

Key Topics Covered

To ensure a solid grasp of the subject, Math Height and Distance Test 4 covers essential mathematical concepts, including:

Basics of Height and Distance – Learn how to calculate unknown heights and distances using trigonometric principles.
Trigonometric Ratios and Their Applications – Understand sine, cosine, and tangent functions for solving right-angled triangles.
Angle of Elevation and Depression – Explore how angles impact distance calculations in real-world scenarios.
Area of a Parallelogram Without Height – Discover alternative methods for determining the area when height is unknown.
Real-Life Applications – Apply height and distance concepts to problems related to buildings, bridges, and survey calculations.

Why Take the Maths Height and Distance Test 4?

Concept-Focused Learning – Strengthen understanding through structured explanations and real-world examples.
Step-by-Step Problem Solving – Follow logical approaches to solve complex height and distance problems.
Interactive Practice Sessions – Work through a variety of questions designed to improve accuracy and speed.
Adaptable Learning – Study at your own pace with access to diverse problem sets and solutions.
Performance Analysis – Track progress and refine weak areas for better exam readiness.

Who Should Take This Test?

Competitive Exam Candidates – Individuals preparing for exams that include trigonometry and geometry-based questions.
Students and Academicians – Learners aiming to strengthen their fundamentals in height and distance calculations.
Aspiring Engineers and Architects – Professionals who require precise measurements for structural design and planning.
Lifelong Learners – Anyone interested in enhancing their mathematical reasoning and analytical skills.

Start Practicing Today!

At Nokryan.com, we strive to make learning engaging and effective. Take Maths Height and Distance Test 4 today this test to improve your math and problem-solving skills. This test offers a great way to learn how to compute height and distance, whether you’re studying for an exam or simply want to solidify your knowledge. Start learning now and prepare yourself to deal with advanced mathematical problems like a pro!

Maths Height and Distance Test.4

Quiz Instructions:

There will be 20 multiple choice question in this online test.
Answer of the questions will change randomly each time you start this test.
Practice this test at least 3 times if you want to secure High Marks.
At the End of the Test you can see your Test score and Rating.

1 / 20

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?

A. 5 metres

B. 8 metres

C. 10 metres

D. 12 metres

2 / 20

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

A. 30°

B. 45°

C. 60°

D. 90°

3 / 20

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?

A. 149 m

B. 156 m

C. 173 m

D. 200 m

4 / 20

If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.

A. 50°

B. 60°

C. 70°

D. 80°

5 / 20

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

A. 173 m

B. 200 m

C. 273 m

D. 300 m

6 / 20

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the joɡɡer?

A. 3.6 sec

B. 18 sec

C. 36 sec

D. 72 sec

7 / 20

Two trains are moving in opposite directions 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is_________?

A. 36

B. 45

C. 48

8 / 20

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of

A. 120

B. 260

C. 240

9 / 20

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

A. 80 Sec

B. 89 Sec

C. 90 Sec

D. 95 Sec

10 / 20

A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

A. 3 km

B. 4 km

C. 5 km

D. 6 km

11 / 20

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

A. 121 km

B. 242 km

C. 224 km

12 / 20

A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking.

A. 10 km

B. 8 km

C. 12 km

D. 9 km

13 / 20

Rayan crosses a 400m bridge in 3 minutes. What is speed?

A. 133.33 kmph

B. 1.33 kmph

C. 4 kmph

D. 8 kmph

14 / 20

Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?

A. 17:13

B. 17:30

C. 13:30

15 / 20

How much time does a train 125 metres long running at 60 km/hr take to pass a pole?

A. 6s

B. 2.08s

C. 7.5s

D. 8s

16 / 20

Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

A. 1 hr 42 min

B. 1 hr

C. 2 hr

D. 1 hr 12 min

17 / 20

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 12

B. 11

C. 10

D. 9

18 / 20

There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?

A. 39 seconds

B. 40 seconds

C. 39.38 seconds

D. 39.5 seconds

19 / 20

A person walking at 5/6th of his usual speed is 40 minutes late to his office. What is his usual travel time to his office?

A. 3 hours 20 minutes

B. 3 hours 15 minutes

C. 3 hours 30 minutes

D. 3 hours

20 / 20

A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

A. 12 km

B. 14 km

C. 16 km

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Maths Height and Distance Test 4: Mastering Trigonometric