Choose the best answer. a 50-foot tree casts a shadow 75 feet long. the sine of the angle between the ground and the line that connects the tip of the shadow to the top of the tree is approximately

0.55

Step-by-step explanation:

According to the trigonometry, in a right triangle  :

Given : A 50-foot tree casts a shadow 75 feet long.

Here , Side opposite to = 50 feet

In right triangle formed by tree , Let the hypotenuse be h.

According to the Pythagoras theorem, we have

Then,

Hence, the  sine of the angle between the ground and the line that connects the tip of the shadow to the top of the tree is approximately 0.55.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).