Trigonometry Answers

This February, a non-profit organization will be having a bike exhibition competition in an open field that is 50 meters long. They specified that the

maximum height of a single ramp is 2 meters above the ground and the minimum height is 0.5 meters below the ground. They are looking for someone

who could design the entire ramp for the exhibition.

Prove that 1-cos2A/sin2A is tanA

From the top of a cliff, Tony Stark can see a boat on the ocean. The angle of depression is 41°. If Tony Stark uses his laser range finder and determines that the boat is 1.4 kilometers away, how high is the cliff?

y= -3 cos 2 (x+π/5)

A ladder makes alpha angle with the ground. Its bottom is pulled by a And due to this it slips by b with the wall and makes beta angle with the wall then a is equal to

a. b tan(alpha+beta)/2

b. b tan(alpha+beta)

c. b tan( ( alpha+beta)/2)

d. (b tan((alpha+beta)/2))/2

Resolve that cos3A-cos5A by sin3A+sin5A = tanA

In preparation for an outdoor rock concert, a stage crew must determine how far apart to place the two large speaker columns on stage. What generally works best is to place them at 50° angles to the centre of the front row.  The distance from the centre of the front row to each of the speakers is 10 ft. How far apart does the crew need to put place the speakers on the stage? Round to one decimal place.

Explain why it is impossible to find an answer to this question:

Solve for angleT △𝑅𝑆𝑇, given 𝑟=5.7𝑘𝑚, 𝑠=3.8𝑘𝑚, 𝑡=1.1𝑘𝑚

A crow starts off in his nest near the ground. It leaves its nest, flying along the ground, due east for 60m. The crow then travels north for 80m, still flying along the ground. Then the crow flies straight up into the sky for 30 meters.

a. Draw a 3D diagram that represents the crow’s flight path. 

b. At this point, how far is the crow from his nest? 

c. What is angle of elevation that a baby crow would have to look up to see the adult crow from

the nest? 

From the top of a cliff, Tony Stark can see a boat on the ocean. The angle of depression is 41°. If Tony Stark uses his laser range finder and determines that the boat is 1.4 kilometers away, how high is the cliff?