As a plane takes off it ascends at a 20 degree angle of elevation. if the plane has been traveling at an average rate
of 270 ft/s and continues to ascend at the same angle, then how high is the plane after 10 seconds (the plane has
traveled 2700 ft).
2700 ft
923.5 feet
2537.2 feet
2873.3 feet
7894.3 feet

The plane was 923.5 feet high after 10 seconds.

Step-by-step explanation:

Angle made by plane with ground during take off = x = 20°

Average speed of plane = 270 ft/s

Let the height of Plane after 10 seconds from the takeoff = H

Distance covered by plane in 10 seconds = 270 ft/s × 10 sn= 2700 ft

According to trigonometric ratios:

Here , perpendicular = H

Hypotenuse = 2700 ft

The plane was 923.5 feet high after 10 seconds.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.