Math trigonomitry project

SineA 20ft tall tree fell down during a storm on a nearby house. Landscapers needed to cut down the tree without harming the building more. They used a clinometer and found that the angle measured 25 degrees. How far would they need to stand from the base of the building to cut down the tree?

Cosine by EmmaThere is a 4ft broom leaning against the wall of a storage closet. The angle the broom makes with the wall is 23 dgrees. How far upthe wall does the broom reach?

AREA by Haley An interior designer wanted to purchase a triangular window for a client. A corner of this window would have to form a 75 degree angle. The sides of this window would have to be 18ft by 20 ft. What would be the area of this window?

Tangent by EmmaA local mall wants to instal an escalator for easier access to the second floor. They can only start to build it 35ft away hozizontally from the platform they are ending it on. The second floor is 20ft above the firt floor. What angel would the escalator have to make with the floor?

Tangent solutiontan(x)=20/35tan^-1(20/35)=xx= 29.74 degrees

Cosine solutioncos(23)=x/4x= 3.68ft

Area solutionA=1/2(18x20)(sin(75))A=173.86ft^2

Sine solutionsin(25) =x/20x=8.45ft away

MATH TRIGONOMITRY PROJECTHALEY AND EMMA

18

75 degrees

20

20ft

x

25

x

4ft

20ft

23

x

35ft

Sine by Haley A 20ft tall tree fell down during a storm on a nearby house. Landscapers needed to cut down the tree without harming the building more. They used a clinometer and found that the angle measured 25 degrees. How far would they need to stand from the base of the building to cut down the tree?