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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

A geologist measured a 40-degree angle of elevation to the top of a mountain. After moving 0.5m farther away, the angle of elevation was 34 degrees. How

This can be solve by functions of a right triangle the tan(theta) which is equal to opposite side/ adjacent side which the opposite side is the height that we looking for. and the adjacent side is the distance from his feet to the bottom of the mountain

let h the height of the mountain and d is the distance of the person from the mountain from the first measurement

at first situation measurement tan (40) = h/d and make d in terms of h by algebra skills d = h/tan (40)

at the second situation he move 0.5m farther so it will plus to the distance at the first situation then it becomes tan (34) = h/d +0.5 then manipulate the equation you have the value of d at the first situation so just substitute the d then it becomes tan (34) = h / (h/tan40) + 0.5 then solve the h by your algebraic skills tan34 (h/tan40 + 0.5) =h distribute the tan(34) h tan34/tan40 + (0.5)tan34 = h combine like terms 0.5(tan34) = h (1 - tan34/tan40 ) then you get the h h = 0.5(tan34)/(1 - tan34/tan40 )

h = 1.719 m and tell your teacher that it is not mountain it is punso haha joke..